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Finding the Fourth Proportional to 224,311.10, 309,540.76 and 123,709.10

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Solution

The fourth proportional to 224,311.10, 309,540.76 and 123,709.10 is: 170,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,311.10 : 309,540.76 = 123,709.10 : x
  2. Step 2: Convert to fraction form
    224,311.10/309,540.76 = 123,709.10/x
  3. Step 3: Cross multiply
    224,311.10x = 309,540.76 × 123,709.10
  4. Step 4: Simplify right side
    224,311.10x = 38,293,006,975.94
  5. Step 5: Solve for x
    x = 38,293,006,975.94/224,311.10
  6. Step 6: Final answer
    x = 170,713.83

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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.