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Finding the Fourth Proportional to 224,102.44, 309,257.82 and 128,606.92

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Solution

The fourth proportional to 224,102.44, 309,257.82 and 128,606.92 is: 177,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,102.44 : 309,257.82 = 128,606.92 : x
  2. Step 2: Convert to fraction form
    224,102.44/309,257.82 = 128,606.92/x
  3. Step 3: Cross multiply
    224,102.44x = 309,257.82 × 128,606.92
  4. Step 4: Simplify right side
    224,102.44x = 39,772,695,716.11
  5. Step 5: Solve for x
    x = 39,772,695,716.11/224,102.44
  6. Step 6: Final answer
    x = 177,475.51

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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.