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Finding the Fourth Proportional to 257,284.38, 355,053.45 and 144,107.16

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Solution

The fourth proportional to 257,284.38, 355,053.45 and 144,107.16 is: 198,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,284.38 : 355,053.45 = 144,107.16 : x
  2. Step 2: Convert to fraction form
    257,284.38/355,053.45 = 144,107.16/x
  3. Step 3: Cross multiply
    257,284.38x = 355,053.45 × 144,107.16
  4. Step 4: Simplify right side
    257,284.38x = 51,165,744,327.70
  5. Step 5: Solve for x
    x = 51,165,744,327.70/257,284.38
  6. Step 6: Final answer
    x = 198,868.44

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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.