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Finding the Fourth Proportional to 288,003.72, 432,198.40 and 119,524.22

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Solution

The fourth proportional to 288,003.72, 432,198.40 and 119,524.22 is: 179,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,003.72 : 432,198.40 = 119,524.22 : x
  2. Step 2: Convert to fraction form
    288,003.72/432,198.40 = 119,524.22/x
  3. Step 3: Cross multiply
    288,003.72x = 432,198.40 × 119,524.22
  4. Step 4: Simplify right side
    288,003.72x = 51,658,176,645.25
  5. Step 5: Solve for x
    x = 51,658,176,645.25/288,003.72
  6. Step 6: Final answer
    x = 179,366.35

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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.