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Finding the Fourth Proportional to 213,808.92, 320,709.94 and 73,568.76

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Solution

The fourth proportional to 213,808.92, 320,709.94 and 73,568.76 is: 110,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,808.92 : 320,709.94 = 73,568.76 : x
  2. Step 2: Convert to fraction form
    213,808.92/320,709.94 = 73,568.76/x
  3. Step 3: Cross multiply
    213,808.92x = 320,709.94 × 73,568.76
  4. Step 4: Simplify right side
    213,808.92x = 23,594,232,605.47
  5. Step 5: Solve for x
    x = 23,594,232,605.47/213,808.92
  6. Step 6: Final answer
    x = 110,351.96

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1.5x scale

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.