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Finding the Fourth Proportional to 242,393.80, 334,517.22 and 145,627.24

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Solution

The fourth proportional to 242,393.80, 334,517.22 and 145,627.24 is: 200,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,393.80 : 334,517.22 = 145,627.24 : x
  2. Step 2: Convert to fraction form
    242,393.80/334,517.22 = 145,627.24/x
  3. Step 3: Cross multiply
    242,393.80x = 334,517.22 × 145,627.24
  4. Step 4: Simplify right side
    242,393.80x = 48,714,819,481.07
  5. Step 5: Solve for x
    x = 48,714,819,481.07/242,393.80
  6. Step 6: Final answer
    x = 200,973.87

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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.