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Finding the Fourth Proportional to 230,181, 317,658.36 and 126,819.40

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Solution

The fourth proportional to 230,181, 317,658.36 and 126,819.40 is: 175,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,181 : 317,658.36 = 126,819.40 : x
  2. Step 2: Convert to fraction form
    230,181/317,658.36 = 126,819.40/x
  3. Step 3: Cross multiply
    230,181x = 317,658.36 × 126,819.40
  4. Step 4: Simplify right side
    230,181x = 40,285,242,620.18
  5. Step 5: Solve for x
    x = 40,285,242,620.18/230,181
  6. Step 6: Final answer
    x = 175,015.50

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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.