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Finding the Fourth Proportional to 120,186.15, 165,852.75 and 66,471

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Solution

The fourth proportional to 120,186.15, 165,852.75 and 66,471 is: 91,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,186.15 : 165,852.75 = 66,471 : x
  2. Step 2: Convert to fraction form
    120,186.15/165,852.75 = 66,471/x
  3. Step 3: Cross multiply
    120,186.15x = 165,852.75 × 66,471
  4. Step 4: Simplify right side
    120,186.15x = 11,024,398,145.25
  5. Step 5: Solve for x
    x = 11,024,398,145.25/120,186.15
  6. Step 6: Final answer
    x = 91,727.69

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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.