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Finding the Fourth Proportional to 105,616.94, 158,107.15 and 68,102.40

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Solution

The fourth proportional to 105,616.94, 158,107.15 and 68,102.40 is: 101,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616.94 : 158,107.15 = 68,102.40 : x
  2. Step 2: Convert to fraction form
    105,616.94/158,107.15 = 68,102.40/x
  3. Step 3: Cross multiply
    105,616.94x = 158,107.15 × 68,102.40
  4. Step 4: Simplify right side
    105,616.94x = 10,767,476,031.65
  5. Step 5: Solve for x
    x = 10,767,476,031.65/105,616.94
  6. Step 6: Final answer
    x = 101,948.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.