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Finding the Fourth Proportional to 106,144.53, 146,462.75 and 60,813.78

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Solution

The fourth proportional to 106,144.53, 146,462.75 and 60,813.78 is: 83,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,144.53 : 146,462.75 = 60,813.78 : x
  2. Step 2: Convert to fraction form
    106,144.53/146,462.75 = 60,813.78/x
  3. Step 3: Cross multiply
    106,144.53x = 146,462.75 × 60,813.78
  4. Step 4: Simplify right side
    106,144.53x = 8,906,953,456.70
  5. Step 5: Solve for x
    x = 8,906,953,456.70/106,144.53
  6. Step 6: Final answer
    x = 83,913.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.