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Finding the Fourth Proportional to 224,454.71, 309,736.54 and 122,474.09

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Solution

The fourth proportional to 224,454.71, 309,736.54 and 122,474.09 is: 169,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,454.71 : 309,736.54 = 122,474.09 : x
  2. Step 2: Convert to fraction form
    224,454.71/309,736.54 = 122,474.09/x
  3. Step 3: Cross multiply
    224,454.71x = 309,736.54 × 122,474.09
  4. Step 4: Simplify right side
    224,454.71x = 37,934,701,803.68
  5. Step 5: Solve for x
    x = 37,934,701,803.68/224,454.71
  6. Step 6: Final answer
    x = 169,008.27

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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.