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Finding the Fourth Proportional to 102,563.40, 153,845.10 and 86,233.80

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Solution

The fourth proportional to 102,563.40, 153,845.10 and 86,233.80 is: 129,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,563.40 : 153,845.10 = 86,233.80 : x
  2. Step 2: Convert to fraction form
    102,563.40/153,845.10 = 86,233.80/x
  3. Step 3: Cross multiply
    102,563.40x = 153,845.10 × 86,233.80
  4. Step 4: Simplify right side
    102,563.40x = 13,266,647,584.38
  5. Step 5: Solve for x
    x = 13,266,647,584.38/102,563.40
  6. Step 6: Final answer
    x = 129,350.70

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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.