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Finding the Fourth Proportional to 106,541.58, 146,894.41 and 68,238.15

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Solution

The fourth proportional to 106,541.58, 146,894.41 and 68,238.15 is: 94,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,541.58 : 146,894.41 = 68,238.15 : x
  2. Step 2: Convert to fraction form
    106,541.58/146,894.41 = 68,238.15/x
  3. Step 3: Cross multiply
    106,541.58x = 146,894.41 × 68,238.15
  4. Step 4: Simplify right side
    106,541.58x = 10,023,802,318.19
  5. Step 5: Solve for x
    x = 10,023,802,318.19/106,541.58
  6. Step 6: Final answer
    x = 94,083.48

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Why These Related Problems?

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