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Finding the Fourth Proportional to 191,452.98, 264,286.80 and 136,297.86

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Solution

The fourth proportional to 191,452.98, 264,286.80 and 136,297.86 is: 188,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,452.98 : 264,286.80 = 136,297.86 : x
  2. Step 2: Convert to fraction form
    191,452.98/264,286.80 = 136,297.86/x
  3. Step 3: Cross multiply
    191,452.98x = 264,286.80 × 136,297.86
  4. Step 4: Simplify right side
    191,452.98x = 36,021,723,944.81
  5. Step 5: Solve for x
    x = 36,021,723,944.81/191,452.98
  6. Step 6: Final answer
    x = 188,149.19

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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.