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Finding the Fourth Proportional to 126,184.36, 189,269.14 and 47,292

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Solution

The fourth proportional to 126,184.36, 189,269.14 and 47,292 is: 70,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,184.36 : 189,269.14 = 47,292 : x
  2. Step 2: Convert to fraction form
    126,184.36/189,269.14 = 47,292/x
  3. Step 3: Cross multiply
    126,184.36x = 189,269.14 × 47,292
  4. Step 4: Simplify right side
    126,184.36x = 8,950,916,168.88
  5. Step 5: Solve for x
    x = 8,950,916,168.88/126,184.36
  6. Step 6: Final answer
    x = 70,935.23

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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.