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Finding the Fourth Proportional to 107,238.76, 160,753.54 and 51,063.78

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Solution

The fourth proportional to 107,238.76, 160,753.54 and 51,063.78 is: 76,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,238.76 : 160,753.54 = 51,063.78 : x
  2. Step 2: Convert to fraction form
    107,238.76/160,753.54 = 51,063.78/x
  3. Step 3: Cross multiply
    107,238.76x = 160,753.54 × 51,063.78
  4. Step 4: Simplify right side
    107,238.76x = 8,208,683,400.78
  5. Step 5: Solve for x
    x = 8,208,683,400.78/107,238.76
  6. Step 6: Final answer
    x = 76,545.86

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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.