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Finding the Fourth Proportional to 381,722.16, 572,613.27 and 101,239.41

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Solution

The fourth proportional to 381,722.16, 572,613.27 and 101,239.41 is: 151,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,722.16 : 572,613.27 = 101,239.41 : x
  2. Step 2: Convert to fraction form
    381,722.16/572,613.27 = 101,239.41/x
  3. Step 3: Cross multiply
    381,722.16x = 572,613.27 × 101,239.41
  4. Step 4: Simplify right side
    381,722.16x = 57,971,029,612.97
  5. Step 5: Solve for x
    x = 57,971,029,612.97/381,722.16
  6. Step 6: Final answer
    x = 151,867.08

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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.