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Finding the Fourth Proportional to 256,403.90, 353,765.30 and 147,502.56

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Solution

The fourth proportional to 256,403.90, 353,765.30 and 147,502.56 is: 203,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,403.90 : 353,765.30 = 147,502.56 : x
  2. Step 2: Convert to fraction form
    256,403.90/353,765.30 = 147,502.56/x
  3. Step 3: Cross multiply
    256,403.90x = 353,765.30 × 147,502.56
  4. Step 4: Simplify right side
    256,403.90x = 52,181,287,389.17
  5. Step 5: Solve for x
    x = 52,181,287,389.17/256,403.90
  6. Step 6: Final answer
    x = 203,512.07

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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.