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Finding the Fourth Proportional to 187,558, 281,406.12 and 98,807.92

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Solution

The fourth proportional to 187,558, 281,406.12 and 98,807.92 is: 148,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,558 : 281,406.12 = 98,807.92 : x
  2. Step 2: Convert to fraction form
    187,558/281,406.12 = 98,807.92/x
  3. Step 3: Cross multiply
    187,558x = 281,406.12 × 98,807.92
  4. Step 4: Simplify right side
    187,558x = 27,805,153,392.47
  5. Step 5: Solve for x
    x = 27,805,153,392.47/187,558
  6. Step 6: Final answer
    x = 148,248.29

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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.