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Finding the Fourth Proportional to 189,452.80, 284,074.56 and 119,181.76

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Solution

The fourth proportional to 189,452.80, 284,074.56 and 119,181.76 is: 178,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,452.80 : 284,074.56 = 119,181.76 : x
  2. Step 2: Convert to fraction form
    189,452.80/284,074.56 = 119,181.76/x
  3. Step 3: Cross multiply
    189,452.80x = 284,074.56 × 119,181.76
  4. Step 4: Simplify right side
    189,452.80x = 33,856,506,032.03
  5. Step 5: Solve for x
    x = 33,856,506,032.03/189,452.80
  6. Step 6: Final answer
    x = 178,706.81

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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.