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Finding the Fourth Proportional to 125,192.34, 187,819.29 and 36,446.63

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Solution

The fourth proportional to 125,192.34, 187,819.29 and 36,446.63 is: 54,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,192.34 : 187,819.29 = 36,446.63 : x
  2. Step 2: Convert to fraction form
    125,192.34/187,819.29 = 36,446.63/x
  3. Step 3: Cross multiply
    125,192.34x = 187,819.29 × 36,446.63
  4. Step 4: Simplify right side
    125,192.34x = 6,845,379,230.40
  5. Step 5: Solve for x
    x = 6,845,379,230.40/125,192.34
  6. Step 6: Final answer
    x = 54,678.90

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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.