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Finding the Fourth Proportional to 257,126.85, 354,831.17 and 143,953.65

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Solution

The fourth proportional to 257,126.85, 354,831.17 and 143,953.65 is: 198,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,126.85 : 354,831.17 = 143,953.65 : x
  2. Step 2: Convert to fraction form
    257,126.85/354,831.17 = 143,953.65/x
  3. Step 3: Cross multiply
    257,126.85x = 354,831.17 × 143,953.65
  4. Step 4: Simplify right side
    257,126.85x = 51,079,241,335.50
  5. Step 5: Solve for x
    x = 51,079,241,335.50/257,126.85
  6. Step 6: Final answer
    x = 198,653.86

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1.5x scale

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.