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Finding the Fourth Proportional to 288,785.22, 433,251.72 and 111,244.56

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Solution

The fourth proportional to 288,785.22, 433,251.72 and 111,244.56 is: 166,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,785.22 : 433,251.72 = 111,244.56 : x
  2. Step 2: Convert to fraction form
    288,785.22/433,251.72 = 111,244.56/x
  3. Step 3: Cross multiply
    288,785.22x = 433,251.72 × 111,244.56
  4. Step 4: Simplify right side
    288,785.22x = 48,196,896,960.64
  5. Step 5: Solve for x
    x = 48,196,896,960.64/288,785.22
  6. Step 6: Final answer
    x = 166,895.30

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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.