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Finding the Fourth Proportional to 178,496.86, 267,380.78 and 99,653.08

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Solution

The fourth proportional to 178,496.86, 267,380.78 and 99,653.08 is: 149,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,496.86 : 267,380.78 = 99,653.08 : x
  2. Step 2: Convert to fraction form
    178,496.86/267,380.78 = 99,653.08/x
  3. Step 3: Cross multiply
    178,496.86x = 267,380.78 × 99,653.08
  4. Step 4: Simplify right side
    178,496.86x = 26,645,318,259.80
  5. Step 5: Solve for x
    x = 26,645,318,259.80/178,496.86
  6. Step 6: Final answer
    x = 149,276.12

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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.