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Finding the Fourth Proportional to 256,350.24, 353,761.32 and 148,983.12

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Solution

The fourth proportional to 256,350.24, 353,761.32 and 148,983.12 is: 205,595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,350.24 : 353,761.32 = 148,983.12 : x
  2. Step 2: Convert to fraction form
    256,350.24/353,761.32 = 148,983.12/x
  3. Step 3: Cross multiply
    256,350.24x = 353,761.32 × 148,983.12
  4. Step 4: Simplify right side
    256,350.24x = 52,704,465,188.92
  5. Step 5: Solve for x
    x = 52,704,465,188.92/256,350.24
  6. Step 6: Final answer
    x = 205,595.54

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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.