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Finding the Fourth Proportional to 288,766.66, 433,223.81 and 111,226

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Solution

The fourth proportional to 288,766.66, 433,223.81 and 111,226 is: 166,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,766.66 : 433,223.81 = 111,226 : x
  2. Step 2: Convert to fraction form
    288,766.66/433,223.81 = 111,226/x
  3. Step 3: Cross multiply
    288,766.66x = 433,223.81 × 111,226
  4. Step 4: Simplify right side
    288,766.66x = 48,185,751,491.06
  5. Step 5: Solve for x
    x = 48,185,751,491.06/288,766.66
  6. Step 6: Final answer
    x = 166,867.43

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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.