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Finding the Fourth Proportional to 257,310.30, 354,878.49 and 181,081.96

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Solution

The fourth proportional to 257,310.30, 354,878.49 and 181,081.96 is: 249,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,310.30 : 354,878.49 = 181,081.96 : x
  2. Step 2: Convert to fraction form
    257,310.30/354,878.49 = 181,081.96/x
  3. Step 3: Cross multiply
    257,310.30x = 354,878.49 × 181,081.96
  4. Step 4: Simplify right side
    257,310.30x = 64,262,092,531.04
  5. Step 5: Solve for x
    x = 64,262,092,531.04/257,310.30
  6. Step 6: Final answer
    x = 249,745.51

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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.