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Finding the Fourth Proportional to 259,569, 358,205.22 and 140,337

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Solution

The fourth proportional to 259,569, 358,205.22 and 140,337 is: 193,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,569 : 358,205.22 = 140,337 : x
  2. Step 2: Convert to fraction form
    259,569/358,205.22 = 140,337/x
  3. Step 3: Cross multiply
    259,569x = 358,205.22 × 140,337
  4. Step 4: Simplify right side
    259,569x = 50,269,445,959.14
  5. Step 5: Solve for x
    x = 50,269,445,959.14/259,569
  6. Step 6: Final answer
    x = 193,665.06

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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.