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Finding the Fourth Proportional to 187,839, 281,774.90 and 47,597.63

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Solution

The fourth proportional to 187,839, 281,774.90 and 47,597.63 is: 71,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,839 : 281,774.90 = 47,597.63 : x
  2. Step 2: Convert to fraction form
    187,839/281,774.90 = 47,597.63/x
  3. Step 3: Cross multiply
    187,839x = 281,774.90 × 47,597.63
  4. Step 4: Simplify right side
    187,839x = 13,411,816,143.61
  5. Step 5: Solve for x
    x = 13,411,816,143.61/187,839
  6. Step 6: Final answer
    x = 71,400.59

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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.