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Finding the Fourth Proportional to 177,282.38, 265,972.78 and 98,451.97

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Solution

The fourth proportional to 177,282.38, 265,972.78 and 98,451.97 is: 147,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,282.38 : 265,972.78 = 98,451.97 : x
  2. Step 2: Convert to fraction form
    177,282.38/265,972.78 = 98,451.97/x
  3. Step 3: Cross multiply
    177,282.38x = 265,972.78 × 98,451.97
  4. Step 4: Simplify right side
    177,282.38x = 26,185,543,615.51
  5. Step 5: Solve for x
    x = 26,185,543,615.51/177,282.38
  6. Step 6: Final answer
    x = 147,705.28

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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.