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Finding the Fourth Proportional to 120,130.17, 165,791.72 and 66,419.26

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Solution

The fourth proportional to 120,130.17, 165,791.72 and 66,419.26 is: 91,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,130.17 : 165,791.72 = 66,419.26 : x
  2. Step 2: Convert to fraction form
    120,130.17/165,791.72 = 66,419.26/x
  3. Step 3: Cross multiply
    120,130.17x = 165,791.72 × 66,419.26
  4. Step 4: Simplify right side
    120,130.17x = 11,011,763,356.53
  5. Step 5: Solve for x
    x = 11,011,763,356.53/120,130.17
  6. Step 6: Final answer
    x = 91,665.26

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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.