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Finding the Fourth Proportional to 126,406.92, 189,537 and 59,846.49

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Solution

The fourth proportional to 126,406.92, 189,537 and 59,846.49 is: 89,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,406.92 : 189,537 = 59,846.49 : x
  2. Step 2: Convert to fraction form
    126,406.92/189,537 = 59,846.49/x
  3. Step 3: Cross multiply
    126,406.92x = 189,537 × 59,846.49
  4. Step 4: Simplify right side
    126,406.92x = 11,343,124,175.13
  5. Step 5: Solve for x
    x = 11,343,124,175.13/126,406.92
  6. Step 6: Final answer
    x = 89,734.99

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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.