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Finding the Fourth Proportional to 106,498.19, 146,902.38 and 68,244.86

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Solution

The fourth proportional to 106,498.19, 146,902.38 and 68,244.86 is: 94,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,498.19 : 146,902.38 = 68,244.86 : x
  2. Step 2: Convert to fraction form
    106,498.19/146,902.38 = 68,244.86/x
  3. Step 3: Cross multiply
    106,498.19x = 146,902.38 × 68,244.86
  4. Step 4: Simplify right side
    106,498.19x = 10,025,332,356.77
  5. Step 5: Solve for x
    x = 10,025,332,356.77/106,498.19
  6. Step 6: Final answer
    x = 94,136.18

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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.