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Finding the Fourth Proportional to 107,110.50, 147,809.22 and 58,711.38

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Solution

The fourth proportional to 107,110.50, 147,809.22 and 58,711.38 is: 81,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,110.50 : 147,809.22 = 58,711.38 : x
  2. Step 2: Convert to fraction form
    107,110.50/147,809.22 = 58,711.38/x
  3. Step 3: Cross multiply
    107,110.50x = 147,809.22 × 58,711.38
  4. Step 4: Simplify right side
    107,110.50x = 8,678,083,282.92
  5. Step 5: Solve for x
    x = 8,678,083,282.92/107,110.50
  6. Step 6: Final answer
    x = 81,019.91

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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.