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Finding the Fourth Proportional to 257,309.30, 354,877.11 and 181,080.96

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Solution

The fourth proportional to 257,309.30, 354,877.11 and 181,080.96 is: 249,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,309.30 : 354,877.11 = 181,080.96 : x
  2. Step 2: Convert to fraction form
    257,309.30/354,877.11 = 181,080.96/x
  3. Step 3: Cross multiply
    257,309.30x = 354,877.11 × 181,080.96
  4. Step 4: Simplify right side
    257,309.30x = 64,261,487,760.83
  5. Step 5: Solve for x
    x = 64,261,487,760.83/257,309.30
  6. Step 6: Final answer
    x = 249,744.13

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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.