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Finding the Fourth Proportional to 106,538.46, 146,974.23 and 61,817.82

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Solution

The fourth proportional to 106,538.46, 146,974.23 and 61,817.82 is: 85,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,538.46 : 146,974.23 = 61,817.82 : x
  2. Step 2: Convert to fraction form
    106,538.46/146,974.23 = 61,817.82/x
  3. Step 3: Cross multiply
    106,538.46x = 146,974.23 × 61,817.82
  4. Step 4: Simplify right side
    106,538.46x = 9,085,626,494.78
  5. Step 5: Solve for x
    x = 9,085,626,494.78/106,538.46
  6. Step 6: Final answer
    x = 85,280.25

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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.