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Finding the Fourth Proportional to 177,705.94, 266,427.22 and 107,568.66

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Solution

The fourth proportional to 177,705.94, 266,427.22 and 107,568.66 is: 161,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,705.94 : 266,427.22 = 107,568.66 : x
  2. Step 2: Convert to fraction form
    177,705.94/266,427.22 = 107,568.66/x
  3. Step 3: Cross multiply
    177,705.94x = 266,427.22 × 107,568.66
  4. Step 4: Simplify right side
    177,705.94x = 28,659,219,042.93
  5. Step 5: Solve for x
    x = 28,659,219,042.93/177,705.94
  6. Step 6: Final answer
    x = 161,273.28

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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.