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Finding the Fourth Proportional to 209,654.68, 314,385.20 and 67,473.48

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Solution

The fourth proportional to 209,654.68, 314,385.20 and 67,473.48 is: 101,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,654.68 : 314,385.20 = 67,473.48 : x
  2. Step 2: Convert to fraction form
    209,654.68/314,385.20 = 67,473.48/x
  3. Step 3: Cross multiply
    209,654.68x = 314,385.20 × 67,473.48
  4. Step 4: Simplify right side
    209,654.68x = 21,212,663,504.50
  5. Step 5: Solve for x
    x = 21,212,663,504.50/209,654.68
  6. Step 6: Final answer
    x = 101,179.06

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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.