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Finding the Fourth Proportional to 256,241.96, 353,616.54 and 141,523.47

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Solution

The fourth proportional to 256,241.96, 353,616.54 and 141,523.47 is: 195,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,241.96 : 353,616.54 = 141,523.47 : x
  2. Step 2: Convert to fraction form
    256,241.96/353,616.54 = 141,523.47/x
  3. Step 3: Cross multiply
    256,241.96x = 353,616.54 × 141,523.47
  4. Step 4: Simplify right side
    256,241.96x = 50,045,039,790.19
  5. Step 5: Solve for x
    x = 50,045,039,790.19/256,241.96
  6. Step 6: Final answer
    x = 195,303.85

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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.