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Finding the Fourth Proportional to 178,496.61, 267,380.41 and 99,652.83

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Solution

The fourth proportional to 178,496.61, 267,380.41 and 99,652.83 is: 149,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,496.61 : 267,380.41 = 99,652.83 : x
  2. Step 2: Convert to fraction form
    178,496.61/267,380.41 = 99,652.83/x
  3. Step 3: Cross multiply
    178,496.61x = 267,380.41 × 99,652.83
  4. Step 4: Simplify right side
    178,496.61x = 26,645,214,543.06
  5. Step 5: Solve for x
    x = 26,645,214,543.06/178,496.61
  6. Step 6: Final answer
    x = 149,275.75

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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.