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Finding the Fourth Proportional to 130,505.88, 180,124.02 and 85,191.24

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Solution

The fourth proportional to 130,505.88, 180,124.02 and 85,191.24 is: 117,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,505.88 : 180,124.02 = 85,191.24 : x
  2. Step 2: Convert to fraction form
    130,505.88/180,124.02 = 85,191.24/x
  3. Step 3: Cross multiply
    130,505.88x = 180,124.02 × 85,191.24
  4. Step 4: Simplify right side
    130,505.88x = 15,344,988,617.58
  5. Step 5: Solve for x
    x = 15,344,988,617.58/130,505.88
  6. Step 6: Final answer
    x = 117,580.82

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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.