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Finding the Fourth Proportional to 102,414.75, 153,621.90 and 27,534.90

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Solution

The fourth proportional to 102,414.75, 153,621.90 and 27,534.90 is: 41,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,414.75 : 153,621.90 = 27,534.90 : x
  2. Step 2: Convert to fraction form
    102,414.75/153,621.90 = 27,534.90/x
  3. Step 3: Cross multiply
    102,414.75x = 153,621.90 × 27,534.90
  4. Step 4: Simplify right side
    102,414.75x = 4,229,963,654.31
  5. Step 5: Solve for x
    x = 4,229,963,654.31/102,414.75
  6. Step 6: Final answer
    x = 41,302.29

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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.