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Finding the Fourth Proportional to 230,682.69, 317,979.59 and 157,959.87

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Solution

The fourth proportional to 230,682.69, 317,979.59 and 157,959.87 is: 217,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,682.69 : 317,979.59 = 157,959.87 : x
  2. Step 2: Convert to fraction form
    230,682.69/317,979.59 = 157,959.87/x
  3. Step 3: Cross multiply
    230,682.69x = 317,979.59 × 157,959.87
  4. Step 4: Simplify right side
    230,682.69x = 50,228,014,445.24
  5. Step 5: Solve for x
    x = 50,228,014,445.24/230,682.69
  6. Step 6: Final answer
    x = 217,736.38

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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.