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Finding the Fourth Proportional to 187,773.96, 281,661.15 and 47,532.59

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Solution

The fourth proportional to 187,773.96, 281,661.15 and 47,532.59 is: 71,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,773.96 : 281,661.15 = 47,532.59 : x
  2. Step 2: Convert to fraction form
    187,773.96/281,661.15 = 47,532.59/x
  3. Step 3: Cross multiply
    187,773.96x = 281,661.15 × 47,532.59
  4. Step 4: Simplify right side
    187,773.96x = 13,388,082,553.57
  5. Step 5: Solve for x
    x = 13,388,082,553.57/187,773.96
  6. Step 6: Final answer
    x = 71,298.93

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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.