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Finding the Fourth Proportional to 220,806.20, 304,710.70 and 120,203.96

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Solution

The fourth proportional to 220,806.20, 304,710.70 and 120,203.96 is: 165,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,806.20 : 304,710.70 = 120,203.96 : x
  2. Step 2: Convert to fraction form
    220,806.20/304,710.70 = 120,203.96/x
  3. Step 3: Cross multiply
    220,806.20x = 304,710.70 × 120,203.96
  4. Step 4: Simplify right side
    220,806.20x = 36,627,432,794.37
  5. Step 5: Solve for x
    x = 36,627,432,794.37/220,806.20
  6. Step 6: Final answer
    x = 165,880.45

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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.