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Finding the Fourth Proportional to 120,864.88, 181,296.56 and 46,992.88

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Solution

The fourth proportional to 120,864.88, 181,296.56 and 46,992.88 is: 70,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,864.88 : 181,296.56 = 46,992.88 : x
  2. Step 2: Convert to fraction form
    120,864.88/181,296.56 = 46,992.88/x
  3. Step 3: Cross multiply
    120,864.88x = 181,296.56 × 46,992.88
  4. Step 4: Simplify right side
    120,864.88x = 8,519,647,488.49
  5. Step 5: Solve for x
    x = 8,519,647,488.49/120,864.88
  6. Step 6: Final answer
    x = 70,489.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.