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Finding the Fourth Proportional to 120,162.33, 165,826.85 and 66,448.39

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Solution

The fourth proportional to 120,162.33, 165,826.85 and 66,448.39 is: 91,700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,162.33 : 165,826.85 = 66,448.39 : x
  2. Step 2: Convert to fraction form
    120,162.33/165,826.85 = 66,448.39/x
  3. Step 3: Cross multiply
    120,162.33x = 165,826.85 × 66,448.39
  4. Step 4: Simplify right side
    120,162.33x = 11,018,927,201.27
  5. Step 5: Solve for x
    x = 11,018,927,201.27/120,162.33
  6. Step 6: Final answer
    x = 91,700.35

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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.