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Finding the Fourth Proportional to 138,169.50, 207,254.31 and 49,417.70

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Solution

The fourth proportional to 138,169.50, 207,254.31 and 49,417.70 is: 74,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,169.50 : 207,254.31 = 49,417.70 : x
  2. Step 2: Convert to fraction form
    138,169.50/207,254.31 = 49,417.70/x
  3. Step 3: Cross multiply
    138,169.50x = 207,254.31 × 49,417.70
  4. Step 4: Simplify right side
    138,169.50x = 10,242,031,068.20
  5. Step 5: Solve for x
    x = 10,242,031,068.20/138,169.50
  6. Step 6: Final answer
    x = 74,126.57

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