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Finding the Fourth Proportional to 381,380.08, 572,097.48 and 100,894

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Solution

The fourth proportional to 381,380.08, 572,097.48 and 100,894 is: 151,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,380.08 : 572,097.48 = 100,894 : x
  2. Step 2: Convert to fraction form
    381,380.08/572,097.48 = 100,894/x
  3. Step 3: Cross multiply
    381,380.08x = 572,097.48 × 100,894
  4. Step 4: Simplify right side
    381,380.08x = 57,721,203,147.12
  5. Step 5: Solve for x
    x = 57,721,203,147.12/381,380.08
  6. Step 6: Final answer
    x = 151,348.24

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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.