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Finding the Fourth Proportional to 235,913.70, 353,179.35 and 208,265.70

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Solution

The fourth proportional to 235,913.70, 353,179.35 and 208,265.70 is: 311,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,913.70 : 353,179.35 = 208,265.70 : x
  2. Step 2: Convert to fraction form
    235,913.70/353,179.35 = 208,265.70/x
  3. Step 3: Cross multiply
    235,913.70x = 353,179.35 × 208,265.70
  4. Step 4: Simplify right side
    235,913.70x = 73,555,144,553.30
  5. Step 5: Solve for x
    x = 73,555,144,553.30/235,913.70
  6. Step 6: Final answer
    x = 311,788.36

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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.