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Finding the Fourth Proportional to 80,626.16, 120,939.24 and 66,746

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Solution

The fourth proportional to 80,626.16, 120,939.24 and 66,746 is: 100,119

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,626.16 : 120,939.24 = 66,746 : x
  2. Step 2: Convert to fraction form
    80,626.16/120,939.24 = 66,746/x
  3. Step 3: Cross multiply
    80,626.16x = 120,939.24 × 66,746
  4. Step 4: Simplify right side
    80,626.16x = 8,072,210,513.04
  5. Step 5: Solve for x
    x = 8,072,210,513.04/80,626.16
  6. Step 6: Final answer
    x = 100,119

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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.