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Finding the Fourth Proportional to 192,002.40, 288,003.60 and 180,338.40

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Solution

The fourth proportional to 192,002.40, 288,003.60 and 180,338.40 is: 270,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,002.40 : 288,003.60 = 180,338.40 : x
  2. Step 2: Convert to fraction form
    192,002.40/288,003.60 = 180,338.40/x
  3. Step 3: Cross multiply
    192,002.40x = 288,003.60 × 180,338.40
  4. Step 4: Simplify right side
    192,002.40x = 51,938,108,418.24
  5. Step 5: Solve for x
    x = 51,938,108,418.24/192,002.40
  6. Step 6: Final answer
    x = 270,507.60

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1.5x scale

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.