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Finding the Fourth Proportional to 209,223.20, 313,820.40 and 67,066.40

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Solution

The fourth proportional to 209,223.20, 313,820.40 and 67,066.40 is: 100,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,223.20 : 313,820.40 = 67,066.40 : x
  2. Step 2: Convert to fraction form
    209,223.20/313,820.40 = 67,066.40/x
  3. Step 3: Cross multiply
    209,223.20x = 313,820.40 × 67,066.40
  4. Step 4: Simplify right side
    209,223.20x = 21,046,804,474.56
  5. Step 5: Solve for x
    x = 21,046,804,474.56/209,223.20
  6. Step 6: Final answer
    x = 100,594.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.