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Finding the Fourth Proportional to 83,206.68, 114,823.52 and 45,481.20

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Solution

The fourth proportional to 83,206.68, 114,823.52 and 45,481.20 is: 62,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206.68 : 114,823.52 = 45,481.20 : x
  2. Step 2: Convert to fraction form
    83,206.68/114,823.52 = 45,481.20/x
  3. Step 3: Cross multiply
    83,206.68x = 114,823.52 × 45,481.20
  4. Step 4: Simplify right side
    83,206.68x = 5,222,311,477.82
  5. Step 5: Solve for x
    x = 5,222,311,477.82/83,206.68
  6. Step 6: Final answer
    x = 62,763.13

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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.