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Finding the Fourth Proportional to 256,615.29, 354,098.20 and 141,878.44

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Solution

The fourth proportional to 256,615.29, 354,098.20 and 141,878.44 is: 195,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,615.29 : 354,098.20 = 141,878.44 : x
  2. Step 2: Convert to fraction form
    256,615.29/354,098.20 = 141,878.44/x
  3. Step 3: Cross multiply
    256,615.29x = 354,098.20 × 141,878.44
  4. Step 4: Simplify right side
    256,615.29x = 50,238,897,986.40
  5. Step 5: Solve for x
    x = 50,238,897,986.40/256,615.29
  6. Step 6: Final answer
    x = 195,775.15

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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.