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Finding the Fourth Proportional to 130,149.71, 195,273.17 and 51,318.89

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Solution

The fourth proportional to 130,149.71, 195,273.17 and 51,318.89 is: 76,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,149.71 : 195,273.17 = 51,318.89 : x
  2. Step 2: Convert to fraction form
    130,149.71/195,273.17 = 51,318.89/x
  3. Step 3: Cross multiply
    130,149.71x = 195,273.17 × 51,318.89
  4. Step 4: Simplify right side
    130,149.71x = 10,021,202,755.22
  5. Step 5: Solve for x
    x = 10,021,202,755.22/130,149.71
  6. Step 6: Final answer
    x = 76,997.50

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Why These Related Problems?

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