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Finding the Fourth Proportional to 130,687.59, 180,321.38 and 85,431.89

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Solution

The fourth proportional to 130,687.59, 180,321.38 and 85,431.89 is: 117,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,687.59 : 180,321.38 = 85,431.89 : x
  2. Step 2: Convert to fraction form
    130,687.59/180,321.38 = 85,431.89/x
  3. Step 3: Cross multiply
    130,687.59x = 180,321.38 × 85,431.89
  4. Step 4: Simplify right side
    130,687.59x = 15,405,194,972.04
  5. Step 5: Solve for x
    x = 15,405,194,972.04/130,687.59
  6. Step 6: Final answer
    x = 117,878.02

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Why These Related Problems?

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