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Finding the Fourth Proportional to 243,351.24, 364,998.08 and 74,871.24

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Solution

The fourth proportional to 243,351.24, 364,998.08 and 74,871.24 is: 112,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,351.24 : 364,998.08 = 74,871.24 : x
  2. Step 2: Convert to fraction form
    243,351.24/364,998.08 = 74,871.24/x
  3. Step 3: Cross multiply
    243,351.24x = 364,998.08 × 74,871.24
  4. Step 4: Simplify right side
    243,351.24x = 27,327,858,847.22
  5. Step 5: Solve for x
    x = 27,327,858,847.22/243,351.24
  6. Step 6: Final answer
    x = 112,298.01

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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.