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Finding the Fourth Proportional to 177,362.28, 244,638.09 and 105,687

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Solution

The fourth proportional to 177,362.28, 244,638.09 and 105,687 is: 145,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,362.28 : 244,638.09 = 105,687 : x
  2. Step 2: Convert to fraction form
    177,362.28/244,638.09 = 105,687/x
  3. Step 3: Cross multiply
    177,362.28x = 244,638.09 × 105,687
  4. Step 4: Simplify right side
    177,362.28x = 25,855,065,817.83
  5. Step 5: Solve for x
    x = 25,855,065,817.83/177,362.28
  6. Step 6: Final answer
    x = 145,775.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.