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Finding the Fourth Proportional to 243,324.86, 364,988.13 and 74,844.05

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Solution

The fourth proportional to 243,324.86, 364,988.13 and 74,844.05 is: 112,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,324.86 : 364,988.13 = 74,844.05 : x
  2. Step 2: Convert to fraction form
    243,324.86/364,988.13 = 74,844.05/x
  3. Step 3: Cross multiply
    243,324.86x = 364,988.13 × 74,844.05
  4. Step 4: Simplify right side
    243,324.86x = 27,317,188,026.19
  5. Step 5: Solve for x
    x = 27,317,188,026.19/243,324.86
  6. Step 6: Final answer
    x = 112,266.33

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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.