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Finding the Fourth Proportional to 120,721.50, 180,929.61 and 105,691.80

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Solution

The fourth proportional to 120,721.50, 180,929.61 and 105,691.80 is: 158,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,721.50 : 180,929.61 = 105,691.80 : x
  2. Step 2: Convert to fraction form
    120,721.50/180,929.61 = 105,691.80/x
  3. Step 3: Cross multiply
    120,721.50x = 180,929.61 × 105,691.80
  4. Step 4: Simplify right side
    120,721.50x = 19,122,776,832.68
  5. Step 5: Solve for x
    x = 19,122,776,832.68/120,721.50
  6. Step 6: Final answer
    x = 158,404.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.