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Finding the Fourth Proportional to 259,799, 358,523.70 and 140,567

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Solution

The fourth proportional to 259,799, 358,523.70 and 140,567 is: 193,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,799 : 358,523.70 = 140,567 : x
  2. Step 2: Convert to fraction form
    259,799/358,523.70 = 140,567/x
  3. Step 3: Cross multiply
    259,799x = 358,523.70 × 140,567
  4. Step 4: Simplify right side
    259,799x = 50,396,600,937.90
  5. Step 5: Solve for x
    x = 50,396,600,937.90/259,799
  6. Step 6: Final answer
    x = 193,983.04

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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.