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Finding the Fourth Proportional to 192,878.38, 265,994.58 and 132,342.22

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Solution

The fourth proportional to 192,878.38, 265,994.58 and 132,342.22 is: 182,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,878.38 : 265,994.58 = 132,342.22 : x
  2. Step 2: Convert to fraction form
    192,878.38/265,994.58 = 132,342.22/x
  3. Step 3: Cross multiply
    192,878.38x = 265,994.58 × 132,342.22
  4. Step 4: Simplify right side
    192,878.38x = 35,202,313,225.17
  5. Step 5: Solve for x
    x = 35,202,313,225.17/192,878.38
  6. Step 6: Final answer
    x = 182,510.42

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Why These Related Problems?

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