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Finding the Fourth Proportional to 243,199.27, 364,784.44 and 74,721.22

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Solution

The fourth proportional to 243,199.27, 364,784.44 and 74,721.22 is: 112,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,199.27 : 364,784.44 = 74,721.22 : x
  2. Step 2: Convert to fraction form
    243,199.27/364,784.44 = 74,721.22/x
  3. Step 3: Cross multiply
    243,199.27x = 364,784.44 × 74,721.22
  4. Step 4: Simplify right side
    243,199.27x = 27,257,138,393.82
  5. Step 5: Solve for x
    x = 27,257,138,393.82/243,199.27
  6. Step 6: Final answer
    x = 112,077.39

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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.