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Finding the Fourth Proportional to 131,099.68, 180,814.78 and 89,731.20

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Solution

The fourth proportional to 131,099.68, 180,814.78 and 89,731.20 is: 123,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,099.68 : 180,814.78 = 89,731.20 : x
  2. Step 2: Convert to fraction form
    131,099.68/180,814.78 = 89,731.20/x
  3. Step 3: Cross multiply
    131,099.68x = 180,814.78 × 89,731.20
  4. Step 4: Simplify right side
    131,099.68x = 16,224,727,187.14
  5. Step 5: Solve for x
    x = 16,224,727,187.14/131,099.68
  6. Step 6: Final answer
    x = 123,758.71

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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.