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Finding the Fourth Proportional to 134,198, 185,193.24 and 77,613.02

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Solution

The fourth proportional to 134,198, 185,193.24 and 77,613.02 is: 107,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,198 : 185,193.24 = 77,613.02 : x
  2. Step 2: Convert to fraction form
    134,198/185,193.24 = 77,613.02/x
  3. Step 3: Cross multiply
    134,198x = 185,193.24 × 77,613.02
  4. Step 4: Simplify right side
    134,198x = 14,373,406,639.98
  5. Step 5: Solve for x
    x = 14,373,406,639.98/134,198
  6. Step 6: Final answer
    x = 107,105.97

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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.