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Finding the Fourth Proportional to 213,469.92, 320,197.59 and 101,203.92

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Solution

The fourth proportional to 213,469.92, 320,197.59 and 101,203.92 is: 151,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,469.92 : 320,197.59 = 101,203.92 : x
  2. Step 2: Convert to fraction form
    213,469.92/320,197.59 = 101,203.92/x
  3. Step 3: Cross multiply
    213,469.92x = 320,197.59 × 101,203.92
  4. Step 4: Simplify right side
    213,469.92x = 32,405,251,282.55
  5. Step 5: Solve for x
    x = 32,405,251,282.55/213,469.92
  6. Step 6: Final answer
    x = 151,802.42

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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.