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Finding the Fourth Proportional to 256,755.78, 354,295.53 and 142,016.18

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Solution

The fourth proportional to 256,755.78, 354,295.53 and 142,016.18 is: 195,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,755.78 : 354,295.53 = 142,016.18 : x
  2. Step 2: Convert to fraction form
    256,755.78/354,295.53 = 142,016.18/x
  3. Step 3: Cross multiply
    256,755.78x = 354,295.53 × 142,016.18
  4. Step 4: Simplify right side
    256,755.78x = 50,315,695,990.20
  5. Step 5: Solve for x
    x = 50,315,695,990.20/256,755.78
  6. Step 6: Final answer
    x = 195,967.14

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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.