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Finding the Fourth Proportional to 129,168.96, 178,189.92 and 78,780.48

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Solution

The fourth proportional to 129,168.96, 178,189.92 and 78,780.48 is: 108,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,168.96 : 178,189.92 = 78,780.48 : x
  2. Step 2: Convert to fraction form
    129,168.96/178,189.92 = 78,780.48/x
  3. Step 3: Cross multiply
    129,168.96x = 178,189.92 × 78,780.48
  4. Step 4: Simplify right side
    129,168.96x = 14,037,887,428.76
  5. Step 5: Solve for x
    x = 14,037,887,428.76/129,168.96
  6. Step 6: Final answer
    x = 108,678.49

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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.