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Finding the Fourth Proportional to 256,609.86, 354,114.26 and 141,886.52

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Solution

The fourth proportional to 256,609.86, 354,114.26 and 141,886.52 is: 195,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,609.86 : 354,114.26 = 141,886.52 : x
  2. Step 2: Convert to fraction form
    256,609.86/354,114.26 = 141,886.52/x
  3. Step 3: Cross multiply
    256,609.86x = 354,114.26 × 141,886.52
  4. Step 4: Simplify right side
    256,609.86x = 50,244,040,033.78
  5. Step 5: Solve for x
    x = 50,244,040,033.78/256,609.86
  6. Step 6: Final answer
    x = 195,799.34

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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.