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Finding the Fourth Proportional to 257,225.66, 354,942.14 and 149,773.04

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Solution

The fourth proportional to 257,225.66, 354,942.14 and 149,773.04 is: 206,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,225.66 : 354,942.14 = 149,773.04 : x
  2. Step 2: Convert to fraction form
    257,225.66/354,942.14 = 149,773.04/x
  3. Step 3: Cross multiply
    257,225.66x = 354,942.14 × 149,773.04
  4. Step 4: Simplify right side
    257,225.66x = 53,160,763,331.91
  5. Step 5: Solve for x
    x = 53,160,763,331.91/257,225.66
  6. Step 6: Final answer
    x = 206,669.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.