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Finding the Fourth Proportional to 256,242.96, 353,617.92 and 141,524.47

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Solution

The fourth proportional to 256,242.96, 353,617.92 and 141,524.47 is: 195,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,242.96 : 353,617.92 = 141,524.47 : x
  2. Step 2: Convert to fraction form
    256,242.96/353,617.92 = 141,524.47/x
  3. Step 3: Cross multiply
    256,242.96x = 353,617.92 × 141,524.47
  4. Step 4: Simplify right side
    256,242.96x = 50,045,588,710.50
  5. Step 5: Solve for x
    x = 50,045,588,710.50/256,242.96
  6. Step 6: Final answer
    x = 195,305.22

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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.