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Finding the Fourth Proportional to 120,357.95, 166,068.24 and 72,610.61

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Solution

The fourth proportional to 120,357.95, 166,068.24 and 72,610.61 is: 100,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,357.95 : 166,068.24 = 72,610.61 : x
  2. Step 2: Convert to fraction form
    120,357.95/166,068.24 = 72,610.61/x
  3. Step 3: Cross multiply
    120,357.95x = 166,068.24 × 72,610.61
  4. Step 4: Simplify right side
    120,357.95x = 12,058,316,208.03
  5. Step 5: Solve for x
    x = 12,058,316,208.03/120,357.95
  6. Step 6: Final answer
    x = 100,187.12

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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.