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Finding the Fourth Proportional to 106,597.38, 147,105.42 and 58,849.71

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Solution

The fourth proportional to 106,597.38, 147,105.42 and 58,849.71 is: 81,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,597.38 : 147,105.42 = 58,849.71 : x
  2. Step 2: Convert to fraction form
    106,597.38/147,105.42 = 58,849.71/x
  3. Step 3: Cross multiply
    106,597.38x = 147,105.42 × 58,849.71
  4. Step 4: Simplify right side
    106,597.38x = 8,657,111,306.43
  5. Step 5: Solve for x
    x = 8,657,111,306.43/106,597.38
  6. Step 6: Final answer
    x = 81,213.17

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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.