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Finding the Fourth Proportional to 136,202.11, 187,965 and 113,503.12

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Solution

The fourth proportional to 136,202.11, 187,965 and 113,503.12 is: 156,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,202.11 : 187,965 = 113,503.12 : x
  2. Step 2: Convert to fraction form
    136,202.11/187,965 = 113,503.12/x
  3. Step 3: Cross multiply
    136,202.11x = 187,965 × 113,503.12
  4. Step 4: Simplify right side
    136,202.11x = 21,334,613,480.89
  5. Step 5: Solve for x
    x = 21,334,613,480.89/136,202.11
  6. Step 6: Final answer
    x = 156,639.38

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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.