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Finding the Fourth Proportional to 220,811.10, 304,720.47 and 120,209.82

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Solution

The fourth proportional to 220,811.10, 304,720.47 and 120,209.82 is: 165,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,811.10 : 304,720.47 = 120,209.82 : x
  2. Step 2: Convert to fraction form
    220,811.10/304,720.47 = 120,209.82/x
  3. Step 3: Cross multiply
    220,811.10x = 304,720.47 × 120,209.82
  4. Step 4: Simplify right side
    220,811.10x = 36,630,392,849.02
  5. Step 5: Solve for x
    x = 36,630,392,849.02/220,811.10
  6. Step 6: Final answer
    x = 165,890.18

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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.