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Finding the Fourth Proportional to 201,788.70, 302,099.85 and 123,056.70

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Solution

The fourth proportional to 201,788.70, 302,099.85 and 123,056.70 is: 184,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,788.70 : 302,099.85 = 123,056.70 : x
  2. Step 2: Convert to fraction form
    201,788.70/302,099.85 = 123,056.70/x
  3. Step 3: Cross multiply
    201,788.70x = 302,099.85 × 123,056.70
  4. Step 4: Simplify right side
    201,788.70x = 37,175,410,611.50
  5. Step 5: Solve for x
    x = 37,175,410,611.50/201,788.70
  6. Step 6: Final answer
    x = 184,229.40

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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.