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Finding the Fourth Proportional to 102,901.98, 153,729.42 and 65,159.82

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Solution

The fourth proportional to 102,901.98, 153,729.42 and 65,159.82 is: 97,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,901.98 : 153,729.42 = 65,159.82 : x
  2. Step 2: Convert to fraction form
    102,901.98/153,729.42 = 65,159.82/x
  3. Step 3: Cross multiply
    102,901.98x = 153,729.42 × 65,159.82
  4. Step 4: Simplify right side
    102,901.98x = 10,016,981,335.90
  5. Step 5: Solve for x
    x = 10,016,981,335.90/102,901.98
  6. Step 6: Final answer
    x = 97,344.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.