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Finding the Fourth Proportional to 220,812, 304,720.62 and 120,210

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Solution

The fourth proportional to 220,812, 304,720.62 and 120,210 is: 165,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,812 : 304,720.62 = 120,210 : x
  2. Step 2: Convert to fraction form
    220,812/304,720.62 = 120,210/x
  3. Step 3: Cross multiply
    220,812x = 304,720.62 × 120,210
  4. Step 4: Simplify right side
    220,812x = 36,630,465,730.20
  5. Step 5: Solve for x
    x = 36,630,465,730.20/220,812
  6. Step 6: Final answer
    x = 165,889.83

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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.