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Finding the Fourth Proportional to 288,845.35, 433,161.91 and 99,251.92

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Solution

The fourth proportional to 288,845.35, 433,161.91 and 99,251.92 is: 148,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,845.35 : 433,161.91 = 99,251.92 : x
  2. Step 2: Convert to fraction form
    288,845.35/433,161.91 = 99,251.92/x
  3. Step 3: Cross multiply
    288,845.35x = 433,161.91 × 99,251.92
  4. Step 4: Simplify right side
    288,845.35x = 42,992,151,238.37
  5. Step 5: Solve for x
    x = 42,992,151,238.37/288,845.35
  6. Step 6: Final answer
    x = 148,841.42

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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.