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Finding the Fourth Proportional to 122,643.10, 183,964.65 and 80,652.70

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Solution

The fourth proportional to 122,643.10, 183,964.65 and 80,652.70 is: 120,979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,643.10 : 183,964.65 = 80,652.70 : x
  2. Step 2: Convert to fraction form
    122,643.10/183,964.65 = 80,652.70/x
  3. Step 3: Cross multiply
    122,643.10x = 183,964.65 × 80,652.70
  4. Step 4: Simplify right side
    122,643.10x = 14,837,245,727.06
  5. Step 5: Solve for x
    x = 14,837,245,727.06/122,643.10
  6. Step 6: Final answer
    x = 120,979.05

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Why These Related Problems?

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