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Finding the Fourth Proportional to 220,644, 304,488.72 and 120,042.72

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Solution

The fourth proportional to 220,644, 304,488.72 and 120,042.72 is: 165,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,644 : 304,488.72 = 120,042.72 : x
  2. Step 2: Convert to fraction form
    220,644/304,488.72 = 120,042.72/x
  3. Step 3: Cross multiply
    220,644x = 304,488.72 × 120,042.72
  4. Step 4: Simplify right side
    220,644x = 36,551,654,158.12
  5. Step 5: Solve for x
    x = 36,551,654,158.12/220,644
  6. Step 6: Final answer
    x = 165,658.95

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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.