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Finding the Fourth Proportional to 257,124.38, 354,831.71 and 143,949.56

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Solution

The fourth proportional to 257,124.38, 354,831.71 and 143,949.56 is: 198,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,124.38 : 354,831.71 = 143,949.56 : x
  2. Step 2: Convert to fraction form
    257,124.38/354,831.71 = 143,949.56/x
  3. Step 3: Cross multiply
    257,124.38x = 354,831.71 × 143,949.56
  4. Step 4: Simplify right side
    257,124.38x = 51,077,866,034.64
  5. Step 5: Solve for x
    x = 51,077,866,034.64/257,124.38
  6. Step 6: Final answer
    x = 198,650.42

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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.