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Finding the Fourth Proportional to 537,732.14, 806,410.08 and 158,552.24

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Solution

The fourth proportional to 537,732.14, 806,410.08 and 158,552.24 is: 237,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,732.14 : 806,410.08 = 158,552.24 : x
  2. Step 2: Convert to fraction form
    537,732.14/806,410.08 = 158,552.24/x
  3. Step 3: Cross multiply
    537,732.14x = 806,410.08 × 158,552.24
  4. Step 4: Simplify right side
    537,732.14x = 127,858,120,510.53
  5. Step 5: Solve for x
    x = 127,858,120,510.53/537,732.14
  6. Step 6: Final answer
    x = 237,772.88

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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.