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Finding the Fourth Proportional to 254,909.60, 382,374.13 and 95,025.32

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Solution

The fourth proportional to 254,909.60, 382,374.13 and 95,025.32 is: 142,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,909.60 : 382,374.13 = 95,025.32 : x
  2. Step 2: Convert to fraction form
    254,909.60/382,374.13 = 95,025.32/x
  3. Step 3: Cross multiply
    254,909.60x = 382,374.13 × 95,025.32
  4. Step 4: Simplify right side
    254,909.60x = 36,335,224,062.97
  5. Step 5: Solve for x
    x = 36,335,224,062.97/254,909.60
  6. Step 6: Final answer
    x = 142,541.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.