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Finding the Fourth Proportional to 106,691.68, 147,232.38 and 58,943.80

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Solution

The fourth proportional to 106,691.68, 147,232.38 and 58,943.80 is: 81,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,691.68 : 147,232.38 = 58,943.80 : x
  2. Step 2: Convert to fraction form
    106,691.68/147,232.38 = 58,943.80/x
  3. Step 3: Cross multiply
    106,691.68x = 147,232.38 × 58,943.80
  4. Step 4: Simplify right side
    106,691.68x = 8,678,435,960.24
  5. Step 5: Solve for x
    x = 8,678,435,960.24/106,691.68
  6. Step 6: Final answer
    x = 81,341.26

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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.