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Finding the Fourth Proportional to 106,171.71, 146,523 and 60,857.22

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Solution

The fourth proportional to 106,171.71, 146,523 and 60,857.22 is: 83,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,171.71 : 146,523 = 60,857.22 : x
  2. Step 2: Convert to fraction form
    106,171.71/146,523 = 60,857.22/x
  3. Step 3: Cross multiply
    106,171.71x = 146,523 × 60,857.22
  4. Step 4: Simplify right side
    106,171.71x = 8,916,982,812.37
  5. Step 5: Solve for x
    x = 8,916,982,812.37/106,171.71
  6. Step 6: Final answer
    x = 83,986.43

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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.