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Finding the Fourth Proportional to 256,740.30, 354,311.28 and 143,562.78

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Solution

The fourth proportional to 256,740.30, 354,311.28 and 143,562.78 is: 198,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,740.30 : 354,311.28 = 143,562.78 : x
  2. Step 2: Convert to fraction form
    256,740.30/354,311.28 = 143,562.78/x
  3. Step 3: Cross multiply
    256,740.30x = 354,311.28 × 143,562.78
  4. Step 4: Simplify right side
    256,740.30x = 50,865,912,342.16
  5. Step 5: Solve for x
    x = 50,865,912,342.16/256,740.30
  6. Step 6: Final answer
    x = 198,122.04

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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.