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Finding the Fourth Proportional to 224,614.56, 309,965.74 and 122,639.70

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Solution

The fourth proportional to 224,614.56, 309,965.74 and 122,639.70 is: 169,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,614.56 : 309,965.74 = 122,639.70 : x
  2. Step 2: Convert to fraction form
    224,614.56/309,965.74 = 122,639.70/x
  3. Step 3: Cross multiply
    224,614.56x = 309,965.74 × 122,639.70
  4. Step 4: Simplify right side
    224,614.56x = 38,014,105,953.85
  5. Step 5: Solve for x
    x = 38,014,105,953.85/224,614.56
  6. Step 6: Final answer
    x = 169,241.51

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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.