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Finding the Fourth Proportional to 107,813.80, 161,749.86 and 61,099.48

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Solution

The fourth proportional to 107,813.80, 161,749.86 and 61,099.48 is: 91,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,813.80 : 161,749.86 = 61,099.48 : x
  2. Step 2: Convert to fraction form
    107,813.80/161,749.86 = 61,099.48/x
  3. Step 3: Cross multiply
    107,813.80x = 161,749.86 × 61,099.48
  4. Step 4: Simplify right side
    107,813.80x = 9,882,832,336.07
  5. Step 5: Solve for x
    x = 9,882,832,336.07/107,813.80
  6. Step 6: Final answer
    x = 91,665.75

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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.