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Finding the Fourth Proportional to 138,169.40, 207,254.10 and 135,097.40

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Solution

The fourth proportional to 138,169.40, 207,254.10 and 135,097.40 is: 202,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,169.40 : 207,254.10 = 135,097.40 : x
  2. Step 2: Convert to fraction form
    138,169.40/207,254.10 = 135,097.40/x
  3. Step 3: Cross multiply
    138,169.40x = 207,254.10 × 135,097.40
  4. Step 4: Simplify right side
    138,169.40x = 27,999,490,049.34
  5. Step 5: Solve for x
    x = 27,999,490,049.34/138,169.40
  6. Step 6: Final answer
    x = 202,646.10

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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.