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Finding the Fourth Proportional to 142,409.20, 213,767.40 and 80,201.20

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Solution

The fourth proportional to 142,409.20, 213,767.40 and 80,201.20 is: 120,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,409.20 : 213,767.40 = 80,201.20 : x
  2. Step 2: Convert to fraction form
    142,409.20/213,767.40 = 80,201.20/x
  3. Step 3: Cross multiply
    142,409.20x = 213,767.40 × 80,201.20
  4. Step 4: Simplify right side
    142,409.20x = 17,144,402,000.88
  5. Step 5: Solve for x
    x = 17,144,402,000.88/142,409.20
  6. Step 6: Final answer
    x = 120,388.30

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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.