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Finding the Fourth Proportional to 177,422.20, 266,133.30 and 84,110.20

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Solution

The fourth proportional to 177,422.20, 266,133.30 and 84,110.20 is: 126,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,422.20 : 266,133.30 = 84,110.20 : x
  2. Step 2: Convert to fraction form
    177,422.20/266,133.30 = 84,110.20/x
  3. Step 3: Cross multiply
    177,422.20x = 266,133.30 × 84,110.20
  4. Step 4: Simplify right side
    177,422.20x = 22,384,525,089.66
  5. Step 5: Solve for x
    x = 22,384,525,089.66/177,422.20
  6. Step 6: Final answer
    x = 126,165.30

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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.