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Finding the Fourth Proportional to 115,310.70, 172,966.05 and 91,982.70

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Solution

The fourth proportional to 115,310.70, 172,966.05 and 91,982.70 is: 137,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,310.70 : 172,966.05 = 91,982.70 : x
  2. Step 2: Convert to fraction form
    115,310.70/172,966.05 = 91,982.70/x
  3. Step 3: Cross multiply
    115,310.70x = 172,966.05 × 91,982.70
  4. Step 4: Simplify right side
    115,310.70x = 15,909,884,287.34
  5. Step 5: Solve for x
    x = 15,909,884,287.34/115,310.70
  6. Step 6: Final answer
    x = 137,974.05

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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.