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Finding the Fourth Proportional to 193,018.83, 289,582.92 and 80,752.83

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Solution

The fourth proportional to 193,018.83, 289,582.92 and 80,752.83 is: 121,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,018.83 : 289,582.92 = 80,752.83 : x
  2. Step 2: Convert to fraction form
    193,018.83/289,582.92 = 80,752.83/x
  3. Step 3: Cross multiply
    193,018.83x = 289,582.92 × 80,752.83
  4. Step 4: Simplify right side
    193,018.83x = 23,384,640,309.66
  5. Step 5: Solve for x
    x = 23,384,640,309.66/193,018.83
  6. Step 6: Final answer
    x = 121,152.12

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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.