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Finding the Fourth Proportional to 256,585.82, 354,086.08 and 141,872.40

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Solution

The fourth proportional to 256,585.82, 354,086.08 and 141,872.40 is: 195,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,585.82 : 354,086.08 = 141,872.40 : x
  2. Step 2: Convert to fraction form
    256,585.82/354,086.08 = 141,872.40/x
  3. Step 3: Cross multiply
    256,585.82x = 354,086.08 × 141,872.40
  4. Step 4: Simplify right side
    256,585.82x = 50,235,041,976.19
  5. Step 5: Solve for x
    x = 50,235,041,976.19/256,585.82
  6. Step 6: Final answer
    x = 195,782.61

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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.