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Finding the Fourth Proportional to 243,324.34, 364,987.38 and 74,843.53

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Solution

The fourth proportional to 243,324.34, 364,987.38 and 74,843.53 is: 112,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,324.34 : 364,987.38 = 74,843.53 : x
  2. Step 2: Convert to fraction form
    243,324.34/364,987.38 = 74,843.53/x
  3. Step 3: Cross multiply
    243,324.34x = 364,987.38 × 74,843.53
  4. Step 4: Simplify right side
    243,324.34x = 27,316,943,924.65
  5. Step 5: Solve for x
    x = 27,316,943,924.65/243,324.34
  6. Step 6: Final answer
    x = 112,265.56

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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.