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Finding the Fourth Proportional to 105,868.57, 158,868.69 and 65,965.90

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Solution

The fourth proportional to 105,868.57, 158,868.69 and 65,965.90 is: 98,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,868.57 : 158,868.69 = 65,965.90 : x
  2. Step 2: Convert to fraction form
    105,868.57/158,868.69 = 65,965.90/x
  3. Step 3: Cross multiply
    105,868.57x = 158,868.69 × 65,965.90
  4. Step 4: Simplify right side
    105,868.57x = 10,479,916,117.67
  5. Step 5: Solve for x
    x = 10,479,916,117.67/105,868.57
  6. Step 6: Final answer
    x = 98,989.87

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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.