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Finding the Fourth Proportional to 113,321.80, 169,982.70 and 102,046.60

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Solution

The fourth proportional to 113,321.80, 169,982.70 and 102,046.60 is: 153,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,321.80 : 169,982.70 = 102,046.60 : x
  2. Step 2: Convert to fraction form
    113,321.80/169,982.70 = 102,046.60/x
  3. Step 3: Cross multiply
    113,321.80x = 169,982.70 × 102,046.60
  4. Step 4: Simplify right side
    113,321.80x = 17,346,156,593.82
  5. Step 5: Solve for x
    x = 17,346,156,593.82/113,321.80
  6. Step 6: Final answer
    x = 153,069.90

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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.