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Finding the Fourth Proportional to 107,160.65, 160,747.66 and 28,274.95

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Solution

The fourth proportional to 107,160.65, 160,747.66 and 28,274.95 is: 42,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,160.65 : 160,747.66 = 28,274.95 : x
  2. Step 2: Convert to fraction form
    107,160.65/160,747.66 = 28,274.95/x
  3. Step 3: Cross multiply
    107,160.65x = 160,747.66 × 28,274.95
  4. Step 4: Simplify right side
    107,160.65x = 4,545,132,049.12
  5. Step 5: Solve for x
    x = 4,545,132,049.12/107,160.65
  6. Step 6: Final answer
    x = 42,414.19

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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.