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Finding the Fourth Proportional to 256,679.65, 354,214.76 and 141,956.20

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Solution

The fourth proportional to 256,679.65, 354,214.76 and 141,956.20 is: 195,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,679.65 : 354,214.76 = 141,956.20 : x
  2. Step 2: Convert to fraction form
    256,679.65/354,214.76 = 141,956.20/x
  3. Step 3: Cross multiply
    256,679.65x = 354,214.76 × 141,956.20
  4. Step 4: Simplify right side
    256,679.65x = 50,282,979,652.92
  5. Step 5: Solve for x
    x = 50,282,979,652.92/256,679.65
  6. Step 6: Final answer
    x = 195,897.81

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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.