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Finding the Fourth Proportional to 259,031.94, 357,456.18 and 144,310.53

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Solution

The fourth proportional to 259,031.94, 357,456.18 and 144,310.53 is: 199,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,031.94 : 357,456.18 = 144,310.53 : x
  2. Step 2: Convert to fraction form
    259,031.94/357,456.18 = 144,310.53/x
  3. Step 3: Cross multiply
    259,031.94x = 357,456.18 × 144,310.53
  4. Step 4: Simplify right side
    259,031.94x = 51,584,690,787.58
  5. Step 5: Solve for x
    x = 51,584,690,787.58/259,031.94
  6. Step 6: Final answer
    x = 199,144.13

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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.