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Finding the Fourth Proportional to 120,365.47, 166,102.31 and 66,649.33

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Solution

The fourth proportional to 120,365.47, 166,102.31 and 66,649.33 is: 91,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,365.47 : 166,102.31 = 66,649.33 : x
  2. Step 2: Convert to fraction form
    120,365.47/166,102.31 = 66,649.33/x
  3. Step 3: Cross multiply
    120,365.47x = 166,102.31 × 66,649.33
  4. Step 4: Simplify right side
    120,365.47x = 11,070,607,339.71
  5. Step 5: Solve for x
    x = 11,070,607,339.71/120,365.47
  6. Step 6: Final answer
    x = 91,974.94

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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.