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Finding the Fourth Proportional to 235,643.85, 353,076.98 and 200,651.85

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Solution

The fourth proportional to 235,643.85, 353,076.98 and 200,651.85 is: 300,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,643.85 : 353,076.98 = 200,651.85 : x
  2. Step 2: Convert to fraction form
    235,643.85/353,076.98 = 200,651.85/x
  3. Step 3: Cross multiply
    235,643.85x = 353,076.98 × 200,651.85
  4. Step 4: Simplify right side
    235,643.85x = 70,845,548,226.15
  5. Step 5: Solve for x
    x = 70,845,548,226.15/235,643.85
  6. Step 6: Final answer
    x = 300,646.71

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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.