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Finding the Fourth Proportional to 259,266, 357,787.32 and 140,034

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Solution

The fourth proportional to 259,266, 357,787.32 and 140,034 is: 193,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,266 : 357,787.32 = 140,034 : x
  2. Step 2: Convert to fraction form
    259,266/357,787.32 = 140,034/x
  3. Step 3: Cross multiply
    259,266x = 357,787.32 × 140,034
  4. Step 4: Simplify right side
    259,266x = 50,102,389,568.88
  5. Step 5: Solve for x
    x = 50,102,389,568.88/259,266
  6. Step 6: Final answer
    x = 193,247.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.