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Finding the Fourth Proportional to 441,196.75, 661,732.64 and 141,637.88

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Solution

The fourth proportional to 441,196.75, 661,732.64 and 141,637.88 is: 212,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,196.75 : 661,732.64 = 141,637.88 : x
  2. Step 2: Convert to fraction form
    441,196.75/661,732.64 = 141,637.88/x
  3. Step 3: Cross multiply
    441,196.75x = 661,732.64 × 141,637.88
  4. Step 4: Simplify right side
    441,196.75x = 93,726,407,548.21
  5. Step 5: Solve for x
    x = 93,726,407,548.21/441,196.75
  6. Step 6: Final answer
    x = 212,436.76

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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.