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Finding the Fourth Proportional to 78,202.89, 116,770.79 and 62,228.61

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Solution

The fourth proportional to 78,202.89, 116,770.79 and 62,228.61 is: 92,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.89 : 116,770.79 = 62,228.61 : x
  2. Step 2: Convert to fraction form
    78,202.89/116,770.79 = 62,228.61/x
  3. Step 3: Cross multiply
    78,202.89x = 116,770.79 × 62,228.61
  4. Step 4: Simplify right side
    78,202.89x = 7,266,484,105.87
  5. Step 5: Solve for x
    x = 7,266,484,105.87/78,202.89
  6. Step 6: Final answer
    x = 92,918.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.