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Finding the Fourth Proportional to 83,202.98, 114,811.16 and 49,212.68

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Solution

The fourth proportional to 83,202.98, 114,811.16 and 49,212.68 is: 67,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202.98 : 114,811.16 = 49,212.68 : x
  2. Step 2: Convert to fraction form
    83,202.98/114,811.16 = 49,212.68/x
  3. Step 3: Cross multiply
    83,202.98x = 114,811.16 × 49,212.68
  4. Step 4: Simplify right side
    83,202.98x = 5,650,164,057.39
  5. Step 5: Solve for x
    x = 5,650,164,057.39/83,202.98
  6. Step 6: Final answer
    x = 67,908.20

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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.