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Finding the Fourth Proportional to 178,496.98, 267,380.97 and 99,653.20

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Solution

The fourth proportional to 178,496.98, 267,380.97 and 99,653.20 is: 149,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,496.98 : 267,380.97 = 99,653.20 : x
  2. Step 2: Convert to fraction form
    178,496.98/267,380.97 = 99,653.20/x
  3. Step 3: Cross multiply
    178,496.98x = 267,380.97 × 99,653.20
  4. Step 4: Simplify right side
    178,496.98x = 26,645,369,279.60
  5. Step 5: Solve for x
    x = 26,645,369,279.60/178,496.98
  6. Step 6: Final answer
    x = 149,276.30

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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.