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Finding the Fourth Proportional to 259,255.75, 357,773.14 and 140,023.75

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Solution

The fourth proportional to 259,255.75, 357,773.14 and 140,023.75 is: 193,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,255.75 : 357,773.14 = 140,023.75 : x
  2. Step 2: Convert to fraction form
    259,255.75/357,773.14 = 140,023.75/x
  3. Step 3: Cross multiply
    259,255.75x = 357,773.14 × 140,023.75
  4. Step 4: Simplify right side
    259,255.75x = 50,096,736,712.08
  5. Step 5: Solve for x
    x = 50,096,736,712.08/259,255.75
  6. Step 6: Final answer
    x = 193,232.89

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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.