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Finding the Fourth Proportional to 107,791.82, 161,756.91 and 72,293.24

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Solution

The fourth proportional to 107,791.82, 161,756.91 and 72,293.24 is: 108,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,791.82 : 161,756.91 = 72,293.24 : x
  2. Step 2: Convert to fraction form
    107,791.82/161,756.91 = 72,293.24/x
  3. Step 3: Cross multiply
    107,791.82x = 161,756.91 × 72,293.24
  4. Step 4: Simplify right side
    107,791.82x = 11,693,931,116.29
  5. Step 5: Solve for x
    x = 11,693,931,116.29/107,791.82
  6. Step 6: Final answer
    x = 108,486.26

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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.