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Finding the Fourth Proportional to 120,816.80, 181,225.20 and 89,712.80

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Solution

The fourth proportional to 120,816.80, 181,225.20 and 89,712.80 is: 134,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,816.80 : 181,225.20 = 89,712.80 : x
  2. Step 2: Convert to fraction form
    120,816.80/181,225.20 = 89,712.80/x
  3. Step 3: Cross multiply
    120,816.80x = 181,225.20 × 89,712.80
  4. Step 4: Simplify right side
    120,816.80x = 16,258,220,122.56
  5. Step 5: Solve for x
    x = 16,258,220,122.56/120,816.80
  6. Step 6: Final answer
    x = 134,569.20

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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.