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Finding the Fourth Proportional to 242,874.31, 364,335.77 and 74,392.69

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Solution

The fourth proportional to 242,874.31, 364,335.77 and 74,392.69 is: 111,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,874.31 : 364,335.77 = 74,392.69 : x
  2. Step 2: Convert to fraction form
    242,874.31/364,335.77 = 74,392.69/x
  3. Step 3: Cross multiply
    242,874.31x = 364,335.77 × 74,392.69
  4. Step 4: Simplify right side
    242,874.31x = 27,103,917,993.52
  5. Step 5: Solve for x
    x = 27,103,917,993.52/242,874.31
  6. Step 6: Final answer
    x = 111,596.48

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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.