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Finding the Fourth Proportional to 259,696.08, 358,351.52 and 146,496.96

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Solution

The fourth proportional to 259,696.08, 358,351.52 and 146,496.96 is: 202,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,696.08 : 358,351.52 = 146,496.96 : x
  2. Step 2: Convert to fraction form
    259,696.08/358,351.52 = 146,496.96/x
  3. Step 3: Cross multiply
    259,696.08x = 358,351.52 × 146,496.96
  4. Step 4: Simplify right side
    259,696.08x = 52,497,408,291.38
  5. Step 5: Solve for x
    x = 52,497,408,291.38/259,696.08
  6. Step 6: Final answer
    x = 202,149.41

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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.