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Finding the Fourth Proportional to 259,868, 358,618.02 and 140,636

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Solution

The fourth proportional to 259,868, 358,618.02 and 140,636 is: 194,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,868 : 358,618.02 = 140,636 : x
  2. Step 2: Convert to fraction form
    259,868/358,618.02 = 140,636/x
  3. Step 3: Cross multiply
    259,868x = 358,618.02 × 140,636
  4. Step 4: Simplify right side
    259,868x = 50,434,603,860.72
  5. Step 5: Solve for x
    x = 50,434,603,860.72/259,868
  6. Step 6: Final answer
    x = 194,077.78

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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.