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Finding the Fourth Proportional to 99,286.13, 137,011.49 and 56,836.46

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Solution

The fourth proportional to 99,286.13, 137,011.49 and 56,836.46 is: 78,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,286.13 : 137,011.49 = 56,836.46 : x
  2. Step 2: Convert to fraction form
    99,286.13/137,011.49 = 56,836.46/x
  3. Step 3: Cross multiply
    99,286.13x = 137,011.49 × 56,836.46
  4. Step 4: Simplify right side
    99,286.13x = 7,787,247,101.69
  5. Step 5: Solve for x
    x = 7,787,247,101.69/99,286.13
  6. Step 6: Final answer
    x = 78,432.38

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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.