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Finding the Fourth Proportional to 83,200.43, 114,814.90 and 45,474.95

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Solution

The fourth proportional to 83,200.43, 114,814.90 and 45,474.95 is: 62,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.43 : 114,814.90 = 45,474.95 : x
  2. Step 2: Convert to fraction form
    83,200.43/114,814.90 = 45,474.95/x
  3. Step 3: Cross multiply
    83,200.43x = 114,814.90 × 45,474.95
  4. Step 4: Simplify right side
    83,200.43x = 5,221,201,836.76
  5. Step 5: Solve for x
    x = 5,221,201,836.76/83,200.43
  6. Step 6: Final answer
    x = 62,754.51

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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.