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Finding the Fourth Proportional to 252,063.36, 378,042.12 and 111,732.48

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Solution

The fourth proportional to 252,063.36, 378,042.12 and 111,732.48 is: 167,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,063.36 : 378,042.12 = 111,732.48 : x
  2. Step 2: Convert to fraction form
    252,063.36/378,042.12 = 111,732.48/x
  3. Step 3: Cross multiply
    252,063.36x = 378,042.12 × 111,732.48
  4. Step 4: Simplify right side
    252,063.36x = 42,239,583,612.06
  5. Step 5: Solve for x
    x = 42,239,583,612.06/252,063.36
  6. Step 6: Final answer
    x = 167,575.26

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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.