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Finding the Fourth Proportional to 106,424.33, 146,871.78 and 61,102.40

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Solution

The fourth proportional to 106,424.33, 146,871.78 and 61,102.40 is: 84,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,424.33 : 146,871.78 = 61,102.40 : x
  2. Step 2: Convert to fraction form
    106,424.33/146,871.78 = 61,102.40/x
  3. Step 3: Cross multiply
    106,424.33x = 146,871.78 × 61,102.40
  4. Step 4: Simplify right side
    106,424.33x = 8,974,218,250.27
  5. Step 5: Solve for x
    x = 8,974,218,250.27/106,424.33
  6. Step 6: Final answer
    x = 84,324.87

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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.