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Finding the Fourth Proportional to 137,099.32, 189,154.02 and 76,661.80

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Solution

The fourth proportional to 137,099.32, 189,154.02 and 76,661.80 is: 105,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,099.32 : 189,154.02 = 76,661.80 : x
  2. Step 2: Convert to fraction form
    137,099.32/189,154.02 = 76,661.80/x
  3. Step 3: Cross multiply
    137,099.32x = 189,154.02 × 76,661.80
  4. Step 4: Simplify right side
    137,099.32x = 14,500,887,650.44
  5. Step 5: Solve for x
    x = 14,500,887,650.44/137,099.32
  6. Step 6: Final answer
    x = 105,769.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.