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Finding the Fourth Proportional to 106,853.19, 147,395.82 and 68,019.20

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Solution

The fourth proportional to 106,853.19, 147,395.82 and 68,019.20 is: 93,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,853.19 : 147,395.82 = 68,019.20 : x
  2. Step 2: Convert to fraction form
    106,853.19/147,395.82 = 68,019.20/x
  3. Step 3: Cross multiply
    106,853.19x = 147,395.82 × 68,019.20
  4. Step 4: Simplify right side
    106,853.19x = 10,025,745,759.74
  5. Step 5: Solve for x
    x = 10,025,745,759.74/106,853.19
  6. Step 6: Final answer
    x = 93,827.29

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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.