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Finding the Fourth Proportional to 381,726.12, 572,545.44 and 101,265.24

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Solution

The fourth proportional to 381,726.12, 572,545.44 and 101,265.24 is: 151,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,726.12 : 572,545.44 = 101,265.24 : x
  2. Step 2: Convert to fraction form
    381,726.12/572,545.44 = 101,265.24/x
  3. Step 3: Cross multiply
    381,726.12x = 572,545.44 × 101,265.24
  4. Step 4: Simplify right side
    381,726.12x = 57,978,951,392.51
  5. Step 5: Solve for x
    x = 57,978,951,392.51/381,726.12
  6. Step 6: Final answer
    x = 151,886.26

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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.