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Finding the Fourth Proportional to 256,738.28, 354,271.55 and 141,998.69

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Solution

The fourth proportional to 256,738.28, 354,271.55 and 141,998.69 is: 195,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,738.28 : 354,271.55 = 141,998.69 : x
  2. Step 2: Convert to fraction form
    256,738.28/354,271.55 = 141,998.69/x
  3. Step 3: Cross multiply
    256,738.28x = 354,271.55 × 141,998.69
  4. Step 4: Simplify right side
    256,738.28x = 50,306,094,587.91
  5. Step 5: Solve for x
    x = 50,306,094,587.91/256,738.28
  6. Step 6: Final answer
    x = 195,943.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.