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Finding the Fourth Proportional to 110,658.24, 165,902.28 and 57,293

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Solution

The fourth proportional to 110,658.24, 165,902.28 and 57,293 is: 85,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,658.24 : 165,902.28 = 57,293 : x
  2. Step 2: Convert to fraction form
    110,658.24/165,902.28 = 57,293/x
  3. Step 3: Cross multiply
    110,658.24x = 165,902.28 × 57,293
  4. Step 4: Simplify right side
    110,658.24x = 9,505,039,328.04
  5. Step 5: Solve for x
    x = 9,505,039,328.04/110,658.24
  6. Step 6: Final answer
    x = 85,895.45

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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.