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Finding the Fourth Proportional to 178,494.86, 267,377.78 and 99,651.08

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Solution

The fourth proportional to 178,494.86, 267,377.78 and 99,651.08 is: 149,273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,494.86 : 267,377.78 = 99,651.08 : x
  2. Step 2: Convert to fraction form
    178,494.86/267,377.78 = 99,651.08/x
  3. Step 3: Cross multiply
    178,494.86x = 267,377.78 × 99,651.08
  4. Step 4: Simplify right side
    178,494.86x = 26,644,483,457.24
  5. Step 5: Solve for x
    x = 26,644,483,457.24/178,494.86
  6. Step 6: Final answer
    x = 149,273.12

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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.