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Finding the Fourth Proportional to 257,051.88, 354,733.38 and 149,684.52

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Solution

The fourth proportional to 257,051.88, 354,733.38 and 149,684.52 is: 206,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,051.88 : 354,733.38 = 149,684.52 : x
  2. Step 2: Convert to fraction form
    257,051.88/354,733.38 = 149,684.52/x
  3. Step 3: Cross multiply
    257,051.88x = 354,733.38 × 149,684.52
  4. Step 4: Simplify right side
    257,051.88x = 53,098,095,713.28
  5. Step 5: Solve for x
    x = 53,098,095,713.28/257,051.88
  6. Step 6: Final answer
    x = 206,565.68

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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.