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Finding the Fourth Proportional to 177,209.84, 244,555.44 and 96,644

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Solution

The fourth proportional to 177,209.84, 244,555.44 and 96,644 is: 133,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,209.84 : 244,555.44 = 96,644 : x
  2. Step 2: Convert to fraction form
    177,209.84/244,555.44 = 96,644/x
  3. Step 3: Cross multiply
    177,209.84x = 244,555.44 × 96,644
  4. Step 4: Simplify right side
    177,209.84x = 23,634,815,943.36
  5. Step 5: Solve for x
    x = 23,634,815,943.36/177,209.84
  6. Step 6: Final answer
    x = 133,371.92

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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.