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Finding the Fourth Proportional to 191,452.05, 264,199.46 and 119,871.54

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Solution

The fourth proportional to 191,452.05, 264,199.46 and 119,871.54 is: 165,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,452.05 : 264,199.46 = 119,871.54 : x
  2. Step 2: Convert to fraction form
    191,452.05/264,199.46 = 119,871.54/x
  3. Step 3: Cross multiply
    191,452.05x = 264,199.46 × 119,871.54
  4. Step 4: Simplify right side
    191,452.05x = 31,669,995,538.01
  5. Step 5: Solve for x
    x = 31,669,995,538.01/191,452.05
  6. Step 6: Final answer
    x = 165,419.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.