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Finding the Fourth Proportional to 177,665.75, 266,422.76 and 102,837.54

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Solution

The fourth proportional to 177,665.75, 266,422.76 and 102,837.54 is: 154,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,665.75 : 266,422.76 = 102,837.54 : x
  2. Step 2: Convert to fraction form
    177,665.75/266,422.76 = 102,837.54/x
  3. Step 3: Cross multiply
    177,665.75x = 266,422.76 × 102,837.54
  4. Step 4: Simplify right side
    177,665.75x = 27,398,262,102.39
  5. Step 5: Solve for x
    x = 27,398,262,102.39/177,665.75
  6. Step 6: Final answer
    x = 154,212.40

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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.