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Finding the Fourth Proportional to 177,882, 266,395.38 and 101,749.79

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Solution

The fourth proportional to 177,882, 266,395.38 and 101,749.79 is: 152,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,882 : 266,395.38 = 101,749.79 : x
  2. Step 2: Convert to fraction form
    177,882/266,395.38 = 101,749.79/x
  3. Step 3: Cross multiply
    177,882x = 266,395.38 × 101,749.79
  4. Step 4: Simplify right side
    177,882x = 27,105,673,971.97
  5. Step 5: Solve for x
    x = 27,105,673,971.97/177,882
  6. Step 6: Final answer
    x = 152,380.08

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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.