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Finding the Fourth Proportional to 164,492.56, 246,701.92 and 75,660.74

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Solution

The fourth proportional to 164,492.56, 246,701.92 and 75,660.74 is: 113,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,492.56 : 246,701.92 = 75,660.74 : x
  2. Step 2: Convert to fraction form
    164,492.56/246,701.92 = 75,660.74/x
  3. Step 3: Cross multiply
    164,492.56x = 246,701.92 × 75,660.74
  4. Step 4: Simplify right side
    164,492.56x = 18,665,649,826.62
  5. Step 5: Solve for x
    x = 18,665,649,826.62/164,492.56
  6. Step 6: Final answer
    x = 113,474.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.