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Finding the Fourth Proportional to 288,843.85, 433,159.66 and 99,250.44

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Solution

The fourth proportional to 288,843.85, 433,159.66 and 99,250.44 is: 148,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,843.85 : 433,159.66 = 99,250.44 : x
  2. Step 2: Convert to fraction form
    288,843.85/433,159.66 = 99,250.44/x
  3. Step 3: Cross multiply
    288,843.85x = 433,159.66 × 99,250.44
  4. Step 4: Simplify right side
    288,843.85x = 42,991,286,845.25
  5. Step 5: Solve for x
    x = 42,991,286,845.25/288,843.85
  6. Step 6: Final answer
    x = 148,839.20

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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.