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Finding the Fourth Proportional to 334,097.82, 501,231.78 and 109,473.48

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Solution

The fourth proportional to 334,097.82, 501,231.78 and 109,473.48 is: 164,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,097.82 : 501,231.78 = 109,473.48 : x
  2. Step 2: Convert to fraction form
    334,097.82/501,231.78 = 109,473.48/x
  3. Step 3: Cross multiply
    334,097.82x = 501,231.78 × 109,473.48
  4. Step 4: Simplify right side
    334,097.82x = 54,871,587,243.19
  5. Step 5: Solve for x
    x = 54,871,587,243.19/334,097.82
  6. Step 6: Final answer
    x = 164,238.09

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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.