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Finding the Fourth Proportional to 262,532.16, 393,815.52 and 75,545.28

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Solution

The fourth proportional to 262,532.16, 393,815.52 and 75,545.28 is: 113,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,532.16 : 393,815.52 = 75,545.28 : x
  2. Step 2: Convert to fraction form
    262,532.16/393,815.52 = 75,545.28/x
  3. Step 3: Cross multiply
    262,532.16x = 393,815.52 × 75,545.28
  4. Step 4: Simplify right side
    262,532.16x = 29,750,903,726.75
  5. Step 5: Solve for x
    x = 29,750,903,726.75/262,532.16
  6. Step 6: Final answer
    x = 113,322.89

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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.