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Finding the Fourth Proportional to 126,156.49, 189,020.51 and 76,131.47

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Solution

The fourth proportional to 126,156.49, 189,020.51 and 76,131.47 is: 114,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156.49 : 189,020.51 = 76,131.47 : x
  2. Step 2: Convert to fraction form
    126,156.49/189,020.51 = 76,131.47/x
  3. Step 3: Cross multiply
    126,156.49x = 189,020.51 × 76,131.47
  4. Step 4: Simplify right side
    126,156.49x = 14,390,408,341.35
  5. Step 5: Solve for x
    x = 14,390,408,341.35/126,156.49
  6. Step 6: Final answer
    x = 114,067.92

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