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Finding the Fourth Proportional to 120,768, 181,198.08 and 46,901.76

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Solution

The fourth proportional to 120,768, 181,198.08 and 46,901.76 is: 70,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,768 : 181,198.08 = 46,901.76 : x
  2. Step 2: Convert to fraction form
    120,768/181,198.08 = 46,901.76/x
  3. Step 3: Cross multiply
    120,768x = 181,198.08 × 46,901.76
  4. Step 4: Simplify right side
    120,768x = 8,498,508,860.62
  5. Step 5: Solve for x
    x = 8,498,508,860.62/120,768
  6. Step 6: Final answer
    x = 70,370.54

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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.