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Finding the Fourth Proportional to 256,406.85, 353,862.14 and 141,695.60

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Solution

The fourth proportional to 256,406.85, 353,862.14 and 141,695.60 is: 195,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406.85 : 353,862.14 = 141,695.60 : x
  2. Step 2: Convert to fraction form
    256,406.85/353,862.14 = 141,695.60/x
  3. Step 3: Cross multiply
    256,406.85x = 353,862.14 × 141,695.60
  4. Step 4: Simplify right side
    256,406.85x = 50,140,705,766.80
  5. Step 5: Solve for x
    x = 50,140,705,766.80/256,406.85
  6. Step 6: Final answer
    x = 195,551.35

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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.