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Finding the Fourth Proportional to 181,708.40, 272,854.20 and 137,385.20

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Solution

The fourth proportional to 181,708.40, 272,854.20 and 137,385.20 is: 206,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,708.40 : 272,854.20 = 137,385.20 : x
  2. Step 2: Convert to fraction form
    181,708.40/272,854.20 = 137,385.20/x
  3. Step 3: Cross multiply
    181,708.40x = 272,854.20 × 137,385.20
  4. Step 4: Simplify right side
    181,708.40x = 37,486,128,837.84
  5. Step 5: Solve for x
    x = 37,486,128,837.84/181,708.40
  6. Step 6: Final answer
    x = 206,298.27

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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.