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Finding the Fourth Proportional to 138,766.70, 208,150.05 and 138,766.70

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Solution

The fourth proportional to 138,766.70, 208,150.05 and 138,766.70 is: 208,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,766.70 : 208,150.05 = 138,766.70 : x
  2. Step 2: Convert to fraction form
    138,766.70/208,150.05 = 138,766.70/x
  3. Step 3: Cross multiply
    138,766.70x = 208,150.05 × 138,766.70
  4. Step 4: Simplify right side
    138,766.70x = 28,884,295,543.34
  5. Step 5: Solve for x
    x = 28,884,295,543.34/138,766.70
  6. Step 6: Final answer
    x = 208,150.05

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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.