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Finding the Fourth Proportional to 106,562.43, 147,053.91 and 58,162.76

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Solution

The fourth proportional to 106,562.43, 147,053.91 and 58,162.76 is: 80,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562.43 : 147,053.91 = 58,162.76 : x
  2. Step 2: Convert to fraction form
    106,562.43/147,053.91 = 58,162.76/x
  3. Step 3: Cross multiply
    106,562.43x = 147,053.91 × 58,162.76
  4. Step 4: Simplify right side
    106,562.43x = 8,553,060,869.38
  5. Step 5: Solve for x
    x = 8,553,060,869.38/106,562.43
  6. Step 6: Final answer
    x = 80,263.38

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Why These Related Problems?

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