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Finding the Fourth Proportional to 219,852.80, 329,123.10 and 206,876.60

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Solution

The fourth proportional to 219,852.80, 329,123.10 and 206,876.60 is: 309,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,852.80 : 329,123.10 = 206,876.60 : x
  2. Step 2: Convert to fraction form
    219,852.80/329,123.10 = 206,876.60/x
  3. Step 3: Cross multiply
    219,852.80x = 329,123.10 × 206,876.60
  4. Step 4: Simplify right side
    219,852.80x = 68,087,867,909.46
  5. Step 5: Solve for x
    x = 68,087,867,909.46/219,852.80
  6. Step 6: Final answer
    x = 309,697.52

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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.