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Finding the Fourth Proportional to 381,125.90, 571,503.62 and 114,836.78

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Solution

The fourth proportional to 381,125.90, 571,503.62 and 114,836.78 is: 172,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,125.90 : 571,503.62 = 114,836.78 : x
  2. Step 2: Convert to fraction form
    381,125.90/571,503.62 = 114,836.78/x
  3. Step 3: Cross multiply
    381,125.90x = 571,503.62 × 114,836.78
  4. Step 4: Simplify right side
    381,125.90x = 65,629,635,479.14
  5. Step 5: Solve for x
    x = 65,629,635,479.14/381,125.90
  6. Step 6: Final answer
    x = 172,199.36

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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.