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Finding the Fourth Proportional to 288,048.20, 431,942.70 and 110,496.20

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Solution

The fourth proportional to 288,048.20, 431,942.70 and 110,496.20 is: 165,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,048.20 : 431,942.70 = 110,496.20 : x
  2. Step 2: Convert to fraction form
    288,048.20/431,942.70 = 110,496.20/x
  3. Step 3: Cross multiply
    288,048.20x = 431,942.70 × 110,496.20
  4. Step 4: Simplify right side
    288,048.20x = 47,728,026,967.74
  5. Step 5: Solve for x
    x = 47,728,026,967.74/288,048.20
  6. Step 6: Final answer
    x = 165,694.59

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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.