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Finding the Fourth Proportional to 139,968,202.20, 209,952,303.30 and 82,430,856.60

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Solution

The fourth proportional to 139,968,202.20, 209,952,303.30 and 82,430,856.60 is: 123,646,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,202.20 : 209,952,303.30 = 82,430,856.60 : x
  2. Step 2: Convert to fraction form
    139,968,202.20/209,952,303.30 = 82,430,856.60/x
  3. Step 3: Cross multiply
    139,968,202.20x = 209,952,303.30 × 82,430,856.60
  4. Step 4: Simplify right side
    139,968,202.20x = 17,306,548,206,162,006
  5. Step 5: Solve for x
    x = 17,306,548,206,162,006/139,968,202.20
  6. Step 6: Final answer
    x = 123,646,284.90

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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.