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Finding the Fourth Proportional to 288,778.75, 433,064.44 and 111,196.51

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Solution

The fourth proportional to 288,778.75, 433,064.44 and 111,196.51 is: 166,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,778.75 : 433,064.44 = 111,196.51 : x
  2. Step 2: Convert to fraction form
    288,778.75/433,064.44 = 111,196.51/x
  3. Step 3: Cross multiply
    288,778.75x = 433,064.44 × 111,196.51
  4. Step 4: Simplify right side
    288,778.75x = 48,155,253,389.44
  5. Step 5: Solve for x
    x = 48,155,253,389.44/288,778.75
  6. Step 6: Final answer
    x = 166,754.84

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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.