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Finding the Fourth Proportional to 256,686.57, 354,211.38 and 141,962.22

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Solution

The fourth proportional to 256,686.57, 354,211.38 and 141,962.22 is: 195,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,686.57 : 354,211.38 = 141,962.22 : x
  2. Step 2: Convert to fraction form
    256,686.57/354,211.38 = 141,962.22/x
  3. Step 3: Cross multiply
    256,686.57x = 354,211.38 × 141,962.22
  4. Step 4: Simplify right side
    256,686.57x = 50,284,633,854.06
  5. Step 5: Solve for x
    x = 50,284,633,854.06/256,686.57
  6. Step 6: Final answer
    x = 195,898.97

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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.