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Finding the Fourth Proportional to 106,101.34, 146,419.12 and 60,169.66

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Solution

The fourth proportional to 106,101.34, 146,419.12 and 60,169.66 is: 83,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,101.34 : 146,419.12 = 60,169.66 : x
  2. Step 2: Convert to fraction form
    106,101.34/146,419.12 = 60,169.66/x
  3. Step 3: Cross multiply
    106,101.34x = 146,419.12 × 60,169.66
  4. Step 4: Simplify right side
    106,101.34x = 8,809,988,619.64
  5. Step 5: Solve for x
    x = 8,809,988,619.64/106,101.34
  6. Step 6: Final answer
    x = 83,033.71

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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.