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Finding the Fourth Proportional to 139,968,101.70, 209,952,152.55 and 75,470,847.30

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Solution

The fourth proportional to 139,968,101.70, 209,952,152.55 and 75,470,847.30 is: 113,206,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,101.70 : 209,952,152.55 = 75,470,847.30 : x
  2. Step 2: Convert to fraction form
    139,968,101.70/209,952,152.55 = 75,470,847.30/x
  3. Step 3: Cross multiply
    139,968,101.70x = 209,952,152.55 × 75,470,847.30
  4. Step 4: Simplify right side
    139,968,101.70x = 15,845,266,845,407,356
  5. Step 5: Solve for x
    x = 15,845,266,845,407,356/139,968,101.70
  6. Step 6: Final answer
    x = 113,206,270.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.