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Finding the Fourth Proportional to 230,843.12, 346,309.56 and 88,678

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Solution

The fourth proportional to 230,843.12, 346,309.56 and 88,678 is: 133,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,843.12 : 346,309.56 = 88,678 : x
  2. Step 2: Convert to fraction form
    230,843.12/346,309.56 = 88,678/x
  3. Step 3: Cross multiply
    230,843.12x = 346,309.56 × 88,678
  4. Step 4: Simplify right side
    230,843.12x = 30,710,039,161.68
  5. Step 5: Solve for x
    x = 30,710,039,161.68/230,843.12
  6. Step 6: Final answer
    x = 133,034.24

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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.