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Finding the Fourth Proportional to 133,026.40, 199,440.40 and 80,424.80

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Solution

The fourth proportional to 133,026.40, 199,440.40 and 80,424.80 is: 120,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026.40 : 199,440.40 = 80,424.80 : x
  2. Step 2: Convert to fraction form
    133,026.40/199,440.40 = 80,424.80/x
  3. Step 3: Cross multiply
    133,026.40x = 199,440.40 × 80,424.80
  4. Step 4: Simplify right side
    133,026.40x = 16,039,954,281.92
  5. Step 5: Solve for x
    x = 16,039,954,281.92/133,026.40
  6. Step 6: Final answer
    x = 120,577.23

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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.