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Finding the Fourth Proportional to 381,708.52, 572,601.82 and 101,225.96

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Solution

The fourth proportional to 381,708.52, 572,601.82 and 101,225.96 is: 151,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,708.52 : 572,601.82 = 101,225.96 : x
  2. Step 2: Convert to fraction form
    381,708.52/572,601.82 = 101,225.96/x
  3. Step 3: Cross multiply
    381,708.52x = 572,601.82 × 101,225.96
  4. Step 4: Simplify right side
    381,708.52x = 57,962,168,927.25
  5. Step 5: Solve for x
    x = 57,962,168,927.25/381,708.52
  6. Step 6: Final answer
    x = 151,849.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.