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Finding the Fourth Proportional to 259,566, 358,201.16 and 140,334

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Solution

The fourth proportional to 259,566, 358,201.16 and 140,334 is: 193,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,566 : 358,201.16 = 140,334 : x
  2. Step 2: Convert to fraction form
    259,566/358,201.16 = 140,334/x
  3. Step 3: Cross multiply
    259,566x = 358,201.16 × 140,334
  4. Step 4: Simplify right side
    259,566x = 50,267,801,587.44
  5. Step 5: Solve for x
    x = 50,267,801,587.44/259,566
  6. Step 6: Final answer
    x = 193,660.96

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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.