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Finding the Fourth Proportional to 80,971.08, 122,073.20 and 75,263.01

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Solution

The fourth proportional to 80,971.08, 122,073.20 and 75,263.01 is: 113,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,971.08 : 122,073.20 = 75,263.01 : x
  2. Step 2: Convert to fraction form
    80,971.08/122,073.20 = 75,263.01/x
  3. Step 3: Cross multiply
    80,971.08x = 122,073.20 × 75,263.01
  4. Step 4: Simplify right side
    80,971.08x = 9,187,596,096.02
  5. Step 5: Solve for x
    x = 9,187,596,096.02/80,971.08
  6. Step 6: Final answer
    x = 113,467.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.