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Finding the Fourth Proportional to 120,356.33, 166,097.45 and 72,608.66

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Solution

The fourth proportional to 120,356.33, 166,097.45 and 72,608.66 is: 100,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,356.33 : 166,097.45 = 72,608.66 : x
  2. Step 2: Convert to fraction form
    120,356.33/166,097.45 = 72,608.66/x
  3. Step 3: Cross multiply
    120,356.33x = 166,097.45 × 72,608.66
  4. Step 4: Simplify right side
    120,356.33x = 12,060,113,273.92
  5. Step 5: Solve for x
    x = 12,060,113,273.92/120,356.33
  6. Step 6: Final answer
    x = 100,203.40

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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.