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Finding the Fourth Proportional to 220,821.16, 304,733.19 and 120,219.16

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Solution

The fourth proportional to 220,821.16, 304,733.19 and 120,219.16 is: 165,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,821.16 : 304,733.19 = 120,219.16 : x
  2. Step 2: Convert to fraction form
    220,821.16/304,733.19 = 120,219.16/x
  3. Step 3: Cross multiply
    220,821.16x = 304,733.19 × 120,219.16
  4. Step 4: Simplify right side
    220,821.16x = 36,634,768,125.92
  5. Step 5: Solve for x
    x = 36,634,768,125.92/220,821.16
  6. Step 6: Final answer
    x = 165,902.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.