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Finding the Fourth Proportional to 227,753.29, 314,302.05 and 125,778.58

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Solution

The fourth proportional to 227,753.29, 314,302.05 and 125,778.58 is: 173,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,753.29 : 314,302.05 = 125,778.58 : x
  2. Step 2: Convert to fraction form
    227,753.29/314,302.05 = 125,778.58/x
  3. Step 3: Cross multiply
    227,753.29x = 314,302.05 × 125,778.58
  4. Step 4: Simplify right side
    227,753.29x = 39,532,465,540.09
  5. Step 5: Solve for x
    x = 39,532,465,540.09/227,753.29
  6. Step 6: Final answer
    x = 173,575.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.