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Finding the Fourth Proportional to 126,894.32, 190,203.96 and 82,552.64

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Solution

The fourth proportional to 126,894.32, 190,203.96 and 82,552.64 is: 123,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,894.32 : 190,203.96 = 82,552.64 : x
  2. Step 2: Convert to fraction form
    126,894.32/190,203.96 = 82,552.64/x
  3. Step 3: Cross multiply
    126,894.32x = 190,203.96 × 82,552.64
  4. Step 4: Simplify right side
    126,894.32x = 15,701,839,036.45
  5. Step 5: Solve for x
    x = 15,701,839,036.45/126,894.32
  6. Step 6: Final answer
    x = 123,739.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.