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Finding the Fourth Proportional to 102,710.32, 141,731.43 and 59,104.27

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Solution

The fourth proportional to 102,710.32, 141,731.43 and 59,104.27 is: 81,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,710.32 : 141,731.43 = 59,104.27 : x
  2. Step 2: Convert to fraction form
    102,710.32/141,731.43 = 59,104.27/x
  3. Step 3: Cross multiply
    102,710.32x = 141,731.43 × 59,104.27
  4. Step 4: Simplify right side
    102,710.32x = 8,376,932,706.21
  5. Step 5: Solve for x
    x = 8,376,932,706.21/102,710.32
  6. Step 6: Final answer
    x = 81,558.82

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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.