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Finding the Fourth Proportional to 257,081.68, 354,780.84 and 149,689.36

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Solution

The fourth proportional to 257,081.68, 354,780.84 and 149,689.36 is: 206,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,081.68 : 354,780.84 = 149,689.36 : x
  2. Step 2: Convert to fraction form
    257,081.68/354,780.84 = 149,689.36/x
  3. Step 3: Cross multiply
    257,081.68x = 354,780.84 × 149,689.36
  4. Step 4: Simplify right side
    257,081.68x = 53,106,916,879.86
  5. Step 5: Solve for x
    x = 53,106,916,879.86/257,081.68
  6. Step 6: Final answer
    x = 206,576.05

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