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Finding the Fourth Proportional to 288,758.95, 433,212.23 and 111,218.29

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Solution

The fourth proportional to 288,758.95, 433,212.23 and 111,218.29 is: 166,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,758.95 : 433,212.23 = 111,218.29 : x
  2. Step 2: Convert to fraction form
    288,758.95/433,212.23 = 111,218.29/x
  3. Step 3: Cross multiply
    288,758.95x = 433,212.23 × 111,218.29
  4. Step 4: Simplify right side
    288,758.95x = 48,181,120,705.53
  5. Step 5: Solve for x
    x = 48,181,120,705.53/288,758.95
  6. Step 6: Final answer
    x = 166,855.86

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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.