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Finding the Fourth Proportional to 256,593.12, 354,084.15 and 141,865.08

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Solution

The fourth proportional to 256,593.12, 354,084.15 and 141,865.08 is: 195,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,593.12 : 354,084.15 = 141,865.08 : x
  2. Step 2: Convert to fraction form
    256,593.12/354,084.15 = 141,865.08/x
  3. Step 3: Cross multiply
    256,593.12x = 354,084.15 × 141,865.08
  4. Step 4: Simplify right side
    256,593.12x = 50,232,176,266.48
  5. Step 5: Solve for x
    x = 50,232,176,266.48/256,593.12
  6. Step 6: Final answer
    x = 195,765.87

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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.