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Finding the Fourth Proportional to 256,729.86, 354,295.17 and 143,552.34

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Solution

The fourth proportional to 256,729.86, 354,295.17 and 143,552.34 is: 198,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,729.86 : 354,295.17 = 143,552.34 : x
  2. Step 2: Convert to fraction form
    256,729.86/354,295.17 = 143,552.34/x
  3. Step 3: Cross multiply
    256,729.86x = 354,295.17 × 143,552.34
  4. Step 4: Simplify right side
    256,729.86x = 50,859,900,704.20
  5. Step 5: Solve for x
    x = 50,859,900,704.20/256,729.86
  6. Step 6: Final answer
    x = 198,106.68

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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.