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Finding the Fourth Proportional to 206,549.70, 309,824.55 and 194,108.10

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Solution

The fourth proportional to 206,549.70, 309,824.55 and 194,108.10 is: 291,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,549.70 : 309,824.55 = 194,108.10 : x
  2. Step 2: Convert to fraction form
    206,549.70/309,824.55 = 194,108.10/x
  3. Step 3: Cross multiply
    206,549.70x = 309,824.55 × 194,108.10
  4. Step 4: Simplify right side
    206,549.70x = 60,139,454,733.86
  5. Step 5: Solve for x
    x = 60,139,454,733.86/206,549.70
  6. Step 6: Final answer
    x = 291,162.15

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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.