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Finding the Fourth Proportional to 259,684.85, 358,371.14 and 162,892.82

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Solution

The fourth proportional to 259,684.85, 358,371.14 and 162,892.82 is: 224,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,684.85 : 358,371.14 = 162,892.82 : x
  2. Step 2: Convert to fraction form
    259,684.85/358,371.14 = 162,892.82/x
  3. Step 3: Cross multiply
    259,684.85x = 358,371.14 × 162,892.82
  4. Step 4: Simplify right side
    259,684.85x = 58,376,085,682.68
  5. Step 5: Solve for x
    x = 58,376,085,682.68/259,684.85
  6. Step 6: Final answer
    x = 224,795.88

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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.