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Finding the Fourth Proportional to 209,531.80, 314,297.70 and 150,920.20

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Solution

The fourth proportional to 209,531.80, 314,297.70 and 150,920.20 is: 226,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,531.80 : 314,297.70 = 150,920.20 : x
  2. Step 2: Convert to fraction form
    209,531.80/314,297.70 = 150,920.20/x
  3. Step 3: Cross multiply
    209,531.80x = 314,297.70 × 150,920.20
  4. Step 4: Simplify right side
    209,531.80x = 47,433,871,743.54
  5. Step 5: Solve for x
    x = 47,433,871,743.54/209,531.80
  6. Step 6: Final answer
    x = 226,380.30

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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.