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Finding the Fourth Proportional to 126,294.96, 189,261.84 and 92,751.84

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Solution

The fourth proportional to 126,294.96, 189,261.84 and 92,751.84 is: 138,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,294.96 : 189,261.84 = 92,751.84 : x
  2. Step 2: Convert to fraction form
    126,294.96/189,261.84 = 92,751.84/x
  3. Step 3: Cross multiply
    126,294.96x = 189,261.84 × 92,751.84
  4. Step 4: Simplify right side
    126,294.96x = 17,554,383,901.79
  5. Step 5: Solve for x
    x = 17,554,383,901.79/126,294.96
  6. Step 6: Final answer
    x = 138,995.13

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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.