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Finding the Fourth Proportional to 206,401.44, 284,874.88 and 133,894.16

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Solution

The fourth proportional to 206,401.44, 284,874.88 and 133,894.16 is: 184,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,401.44 : 284,874.88 = 133,894.16 : x
  2. Step 2: Convert to fraction form
    206,401.44/284,874.88 = 133,894.16/x
  3. Step 3: Cross multiply
    206,401.44x = 284,874.88 × 133,894.16
  4. Step 4: Simplify right side
    206,401.44x = 38,143,082,762.70
  5. Step 5: Solve for x
    x = 38,143,082,762.70/206,401.44
  6. Step 6: Final answer
    x = 184,800.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.