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Finding the Fourth Proportional to 288,736.44, 433,178.44 and 120,200.72

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Solution

The fourth proportional to 288,736.44, 433,178.44 and 120,200.72 is: 180,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,736.44 : 433,178.44 = 120,200.72 : x
  2. Step 2: Convert to fraction form
    288,736.44/433,178.44 = 120,200.72/x
  3. Step 3: Cross multiply
    288,736.44x = 433,178.44 × 120,200.72
  4. Step 4: Simplify right side
    288,736.44x = 52,068,360,376.48
  5. Step 5: Solve for x
    x = 52,068,360,376.48/288,736.44
  6. Step 6: Final answer
    x = 180,331.79

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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.