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Finding the Fourth Proportional to 192,126.40, 288,189.60 and 133,077.40

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Solution

The fourth proportional to 192,126.40, 288,189.60 and 133,077.40 is: 199,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,126.40 : 288,189.60 = 133,077.40 : x
  2. Step 2: Convert to fraction form
    192,126.40/288,189.60 = 133,077.40/x
  3. Step 3: Cross multiply
    192,126.40x = 288,189.60 × 133,077.40
  4. Step 4: Simplify right side
    192,126.40x = 38,351,522,675.04
  5. Step 5: Solve for x
    x = 38,351,522,675.04/192,126.40
  6. Step 6: Final answer
    x = 199,616.10

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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.