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Finding the Fourth Proportional to 259,344, 357,894.72 and 140,112

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Solution

The fourth proportional to 259,344, 357,894.72 and 140,112 is: 193,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,344 : 357,894.72 = 140,112 : x
  2. Step 2: Convert to fraction form
    259,344/357,894.72 = 140,112/x
  3. Step 3: Cross multiply
    259,344x = 357,894.72 × 140,112
  4. Step 4: Simplify right side
    259,344x = 50,145,345,008.64
  5. Step 5: Solve for x
    x = 50,145,345,008.64/259,344
  6. Step 6: Final answer
    x = 193,354.56

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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.