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Finding the Fourth Proportional to 220,221.48, 303,931.14 and 206,709.96

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Solution

The fourth proportional to 220,221.48, 303,931.14 and 206,709.96 is: 285,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,221.48 : 303,931.14 = 206,709.96 : x
  2. Step 2: Convert to fraction form
    220,221.48/303,931.14 = 206,709.96/x
  3. Step 3: Cross multiply
    220,221.48x = 303,931.14 × 206,709.96
  4. Step 4: Simplify right side
    220,221.48x = 62,825,593,792.15
  5. Step 5: Solve for x
    x = 62,825,593,792.15/220,221.48
  6. Step 6: Final answer
    x = 285,283.68

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1.5x scale

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.