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Finding the Fourth Proportional to 106,462.57, 146,881.24 and 68,243.19

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Solution

The fourth proportional to 106,462.57, 146,881.24 and 68,243.19 is: 94,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,462.57 : 146,881.24 = 68,243.19 : x
  2. Step 2: Convert to fraction form
    106,462.57/146,881.24 = 68,243.19/x
  3. Step 3: Cross multiply
    106,462.57x = 146,881.24 × 68,243.19
  4. Step 4: Simplify right side
    106,462.57x = 10,023,644,368.76
  5. Step 5: Solve for x
    x = 10,023,644,368.76/106,462.57
  6. Step 6: Final answer
    x = 94,151.82

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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.