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Finding the Fourth Proportional to 136,624.92, 204,956.55 and 47,858.10

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Solution

The fourth proportional to 136,624.92, 204,956.55 and 47,858.10 is: 71,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,624.92 : 204,956.55 = 47,858.10 : x
  2. Step 2: Convert to fraction form
    136,624.92/204,956.55 = 47,858.10/x
  3. Step 3: Cross multiply
    136,624.92x = 204,956.55 × 47,858.10
  4. Step 4: Simplify right side
    136,624.92x = 9,808,831,065.56
  5. Step 5: Solve for x
    x = 9,808,831,065.56/136,624.92
  6. Step 6: Final answer
    x = 71,793.87

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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.