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Finding the Fourth Proportional to 178,098.24, 267,245.74 and 99,256.90

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Solution

The fourth proportional to 178,098.24, 267,245.74 and 99,256.90 is: 148,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,098.24 : 267,245.74 = 99,256.90 : x
  2. Step 2: Convert to fraction form
    178,098.24/267,245.74 = 99,256.90/x
  3. Step 3: Cross multiply
    178,098.24x = 267,245.74 × 99,256.90
  4. Step 4: Simplify right side
    178,098.24x = 26,525,983,690.61
  5. Step 5: Solve for x
    x = 26,525,983,690.61/178,098.24
  6. Step 6: Final answer
    x = 148,940.18

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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.