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Finding the Fourth Proportional to 157,717.19, 217,097.27 and 137,538.47

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Solution

The fourth proportional to 157,717.19, 217,097.27 and 137,538.47 is: 189,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,717.19 : 217,097.27 = 137,538.47 : x
  2. Step 2: Convert to fraction form
    157,717.19/217,097.27 = 137,538.47/x
  3. Step 3: Cross multiply
    157,717.19x = 217,097.27 × 137,538.47
  4. Step 4: Simplify right side
    157,717.19x = 29,859,226,356.98
  5. Step 5: Solve for x
    x = 29,859,226,356.98/157,717.19
  6. Step 6: Final answer
    x = 189,321.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.