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Finding the Fourth Proportional to 224,196.28, 309,392.94 and 123,597.88

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Solution

The fourth proportional to 224,196.28, 309,392.94 and 123,597.88 is: 170,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,196.28 : 309,392.94 = 123,597.88 : x
  2. Step 2: Convert to fraction form
    224,196.28/309,392.94 = 123,597.88/x
  3. Step 3: Cross multiply
    224,196.28x = 309,392.94 × 123,597.88
  4. Step 4: Simplify right side
    224,196.28x = 38,240,311,470.97
  5. Step 5: Solve for x
    x = 38,240,311,470.97/224,196.28
  6. Step 6: Final answer
    x = 170,566.22

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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.