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Finding the Fourth Proportional to 152,286.38, 209,953.86 and 124,962.38

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Solution

The fourth proportional to 152,286.38, 209,953.86 and 124,962.38 is: 172,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,286.38 : 209,953.86 = 124,962.38 : x
  2. Step 2: Convert to fraction form
    152,286.38/209,953.86 = 124,962.38/x
  3. Step 3: Cross multiply
    152,286.38x = 209,953.86 × 124,962.38
  4. Step 4: Simplify right side
    152,286.38x = 26,236,334,035.79
  5. Step 5: Solve for x
    x = 26,236,334,035.79/152,286.38
  6. Step 6: Final answer
    x = 172,282.87

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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.