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Finding the Fourth Proportional to 106,193.70, 146,517.66 and 65,909.16

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Solution

The fourth proportional to 106,193.70, 146,517.66 and 65,909.16 is: 90,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,193.70 : 146,517.66 = 65,909.16 : x
  2. Step 2: Convert to fraction form
    106,193.70/146,517.66 = 65,909.16/x
  3. Step 3: Cross multiply
    106,193.70x = 146,517.66 × 65,909.16
  4. Step 4: Simplify right side
    106,193.70x = 9,656,855,895.77
  5. Step 5: Solve for x
    x = 9,656,855,895.77/106,193.70
  6. Step 6: Final answer
    x = 90,936.24

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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.