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Finding the Fourth Proportional to 259,305.75, 357,841.94 and 140,073.75

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Solution

The fourth proportional to 259,305.75, 357,841.94 and 140,073.75 is: 193,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,305.75 : 357,841.94 = 140,073.75 : x
  2. Step 2: Convert to fraction form
    259,305.75/357,841.94 = 140,073.75/x
  3. Step 3: Cross multiply
    259,305.75x = 357,841.94 × 140,073.75
  4. Step 4: Simplify right side
    259,305.75x = 50,124,261,742.71
  5. Step 5: Solve for x
    x = 50,124,261,742.71/259,305.75
  6. Step 6: Final answer
    x = 193,301.78

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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.