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Finding the Fourth Proportional to 107,813.48, 161,541.42 and 65,565.77

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Solution

The fourth proportional to 107,813.48, 161,541.42 and 65,565.77 is: 98,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,813.48 : 161,541.42 = 65,565.77 : x
  2. Step 2: Convert to fraction form
    107,813.48/161,541.42 = 65,565.77/x
  3. Step 3: Cross multiply
    107,813.48x = 161,541.42 × 65,565.77
  4. Step 4: Simplify right side
    107,813.48x = 10,591,586,781.49
  5. Step 5: Solve for x
    x = 10,591,586,781.49/107,813.48
  6. Step 6: Final answer
    x = 98,239.92

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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.