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Finding the Fourth Proportional to 80,967.60, 121,305.60 and 76,088.16

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Solution

The fourth proportional to 80,967.60, 121,305.60 and 76,088.16 is: 113,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,967.60 : 121,305.60 = 76,088.16 : x
  2. Step 2: Convert to fraction form
    80,967.60/121,305.60 = 76,088.16/x
  3. Step 3: Cross multiply
    80,967.60x = 121,305.60 × 76,088.16
  4. Step 4: Simplify right side
    80,967.60x = 9,229,919,901.70
  5. Step 5: Solve for x
    x = 9,229,919,901.70/80,967.60
  6. Step 6: Final answer
    x = 113,995.23

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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.