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Finding the Fourth Proportional to 120,510.94, 166,285.56 and 75,181.72

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Solution

The fourth proportional to 120,510.94, 166,285.56 and 75,181.72 is: 103,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,510.94 : 166,285.56 = 75,181.72 : x
  2. Step 2: Convert to fraction form
    120,510.94/166,285.56 = 75,181.72/x
  3. Step 3: Cross multiply
    120,510.94x = 166,285.56 × 75,181.72
  4. Step 4: Simplify right side
    120,510.94x = 12,501,634,411.96
  5. Step 5: Solve for x
    x = 12,501,634,411.96/120,510.94
  6. Step 6: Final answer
    x = 103,738.59

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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.