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Finding the Fourth Proportional to 130,084.73, 194,987.12 and 85,089.14

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Solution

The fourth proportional to 130,084.73, 194,987.12 and 85,089.14 is: 127,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,084.73 : 194,987.12 = 85,089.14 : x
  2. Step 2: Convert to fraction form
    130,084.73/194,987.12 = 85,089.14/x
  3. Step 3: Cross multiply
    130,084.73x = 194,987.12 × 85,089.14
  4. Step 4: Simplify right side
    130,084.73x = 16,591,284,951.50
  5. Step 5: Solve for x
    x = 16,591,284,951.50/130,084.73
  6. Step 6: Final answer
    x = 127,542.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.