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Finding the Fourth Proportional to 242,873.31, 364,334.27 and 74,391.69

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Solution

The fourth proportional to 242,873.31, 364,334.27 and 74,391.69 is: 111,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,873.31 : 364,334.27 = 74,391.69 : x
  2. Step 2: Convert to fraction form
    242,873.31/364,334.27 = 74,391.69/x
  3. Step 3: Cross multiply
    242,873.31x = 364,334.27 × 74,391.69
  4. Step 4: Simplify right side
    242,873.31x = 27,103,442,070.22
  5. Step 5: Solve for x
    x = 27,103,442,070.22/242,873.31
  6. Step 6: Final answer
    x = 111,594.98

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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.