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Finding the Fourth Proportional to 120,821.70, 181,232.55 and 83,496.90

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Solution

The fourth proportional to 120,821.70, 181,232.55 and 83,496.90 is: 125,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,821.70 : 181,232.55 = 83,496.90 : x
  2. Step 2: Convert to fraction form
    120,821.70/181,232.55 = 83,496.90/x
  3. Step 3: Cross multiply
    120,821.70x = 181,232.55 × 83,496.90
  4. Step 4: Simplify right side
    120,821.70x = 15,132,356,104.10
  5. Step 5: Solve for x
    x = 15,132,356,104.10/120,821.70
  6. Step 6: Final answer
    x = 125,245.35

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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.