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Finding the Fourth Proportional to 129,182.48, 178,199.64 and 120,049.04

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Solution

The fourth proportional to 129,182.48, 178,199.64 and 120,049.04 is: 165,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,182.48 : 178,199.64 = 120,049.04 : x
  2. Step 2: Convert to fraction form
    129,182.48/178,199.64 = 120,049.04/x
  3. Step 3: Cross multiply
    129,182.48x = 178,199.64 × 120,049.04
  4. Step 4: Simplify right side
    129,182.48x = 21,392,695,710.35
  5. Step 5: Solve for x
    x = 21,392,695,710.35/129,182.48
  6. Step 6: Final answer
    x = 165,600.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.