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Finding the Fourth Proportional to 120,185.36, 165,854.95 and 66,468.39

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Solution

The fourth proportional to 120,185.36, 165,854.95 and 66,468.39 is: 91,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,185.36 : 165,854.95 = 66,468.39 : x
  2. Step 2: Convert to fraction form
    120,185.36/165,854.95 = 66,468.39/x
  3. Step 3: Cross multiply
    120,185.36x = 165,854.95 × 66,468.39
  4. Step 4: Simplify right side
    120,185.36x = 11,024,111,500.03
  5. Step 5: Solve for x
    x = 11,024,111,500.03/120,185.36
  6. Step 6: Final answer
    x = 91,725.91

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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.