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Finding the Fourth Proportional to 158,562.53, 237,878.78 and 46,251.53

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Solution

The fourth proportional to 158,562.53, 237,878.78 and 46,251.53 is: 69,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,562.53 : 237,878.78 = 46,251.53 : x
  2. Step 2: Convert to fraction form
    158,562.53/237,878.78 = 46,251.53/x
  3. Step 3: Cross multiply
    158,562.53x = 237,878.78 × 46,251.53
  4. Step 4: Simplify right side
    158,562.53x = 11,002,257,892.97
  5. Step 5: Solve for x
    x = 11,002,257,892.97/158,562.53
  6. Step 6: Final answer
    x = 69,387.50

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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.