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Finding the Fourth Proportional to 220,820.40, 331,327.80 and 102,430.80

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Solution

The fourth proportional to 220,820.40, 331,327.80 and 102,430.80 is: 153,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,820.40 : 331,327.80 = 102,430.80 : x
  2. Step 2: Convert to fraction form
    220,820.40/331,327.80 = 102,430.80/x
  3. Step 3: Cross multiply
    220,820.40x = 331,327.80 × 102,430.80
  4. Step 4: Simplify right side
    220,820.40x = 33,938,171,616.24
  5. Step 5: Solve for x
    x = 33,938,171,616.24/220,820.40
  6. Step 6: Final answer
    x = 153,691.29

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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.