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Finding the Fourth Proportional to 259,027.16, 387,823.30 and 132,394.70

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Solution

The fourth proportional to 259,027.16, 387,823.30 and 132,394.70 is: 198,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,027.16 : 387,823.30 = 132,394.70 : x
  2. Step 2: Convert to fraction form
    259,027.16/387,823.30 = 132,394.70/x
  3. Step 3: Cross multiply
    259,027.16x = 387,823.30 × 132,394.70
  4. Step 4: Simplify right side
    259,027.16x = 51,345,750,095.08
  5. Step 5: Solve for x
    x = 51,345,750,095.08/259,027.16
  6. Step 6: Final answer
    x = 198,225.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.