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Finding the Fourth Proportional to 256,251.96, 353,623.86 and 148,882.20

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Solution

The fourth proportional to 256,251.96, 353,623.86 and 148,882.20 is: 205,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,251.96 : 353,623.86 = 148,882.20 : x
  2. Step 2: Convert to fraction form
    256,251.96/353,623.86 = 148,882.20/x
  3. Step 3: Cross multiply
    256,251.96x = 353,623.86 × 148,882.20
  4. Step 4: Simplify right side
    256,251.96x = 52,648,298,249.29
  5. Step 5: Solve for x
    x = 52,648,298,249.29/256,251.96
  6. Step 6: Final answer
    x = 205,455.20

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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.