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Finding the Fourth Proportional to 243,163.82, 335,564.78 and 141,214.34

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Solution

The fourth proportional to 243,163.82, 335,564.78 and 141,214.34 is: 194,875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,163.82 : 335,564.78 = 141,214.34 : x
  2. Step 2: Convert to fraction form
    243,163.82/335,564.78 = 141,214.34/x
  3. Step 3: Cross multiply
    243,163.82x = 335,564.78 × 141,214.34
  4. Step 4: Simplify right side
    243,163.82x = 47,386,558,338.97
  5. Step 5: Solve for x
    x = 47,386,558,338.97/243,163.82
  6. Step 6: Final answer
    x = 194,875.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.