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Finding the Fourth Proportional to 149,859.10, 224,723.85 and 74,950.30

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Solution

The fourth proportional to 149,859.10, 224,723.85 and 74,950.30 is: 112,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,859.10 : 224,723.85 = 74,950.30 : x
  2. Step 2: Convert to fraction form
    149,859.10/224,723.85 = 74,950.30/x
  3. Step 3: Cross multiply
    149,859.10x = 224,723.85 × 74,950.30
  4. Step 4: Simplify right side
    149,859.10x = 16,843,119,974.66
  5. Step 5: Solve for x
    x = 16,843,119,974.66/149,859.10
  6. Step 6: Final answer
    x = 112,393.04

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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.