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Finding the Fourth Proportional to 259,458.24, 358,052.16 and 140,226.24

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Solution

The fourth proportional to 259,458.24, 358,052.16 and 140,226.24 is: 193,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,458.24 : 358,052.16 = 140,226.24 : x
  2. Step 2: Convert to fraction form
    259,458.24/358,052.16 = 140,226.24/x
  3. Step 3: Cross multiply
    259,458.24x = 358,052.16 × 140,226.24
  4. Step 4: Simplify right side
    259,458.24x = 50,208,308,120.68
  5. Step 5: Solve for x
    x = 50,208,308,120.68/259,458.24
  6. Step 6: Final answer
    x = 193,512.10

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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.