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Finding the Fourth Proportional to 100,572.84, 138,815.46 and 58,125.24

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Solution

The fourth proportional to 100,572.84, 138,815.46 and 58,125.24 is: 80,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,572.84 : 138,815.46 = 58,125.24 : x
  2. Step 2: Convert to fraction form
    100,572.84/138,815.46 = 58,125.24/x
  3. Step 3: Cross multiply
    100,572.84x = 138,815.46 × 58,125.24
  4. Step 4: Simplify right side
    100,572.84x = 8,068,681,928.21
  5. Step 5: Solve for x
    x = 8,068,681,928.21/100,572.84
  6. Step 6: Final answer
    x = 80,227.25

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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.