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Finding the Fourth Proportional to 114,462.78, 157,964.85 and 66,713.28

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Solution

The fourth proportional to 114,462.78, 157,964.85 and 66,713.28 is: 92,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.78 : 157,964.85 = 66,713.28 : x
  2. Step 2: Convert to fraction form
    114,462.78/157,964.85 = 66,713.28/x
  3. Step 3: Cross multiply
    114,462.78x = 157,964.85 × 66,713.28
  4. Step 4: Simplify right side
    114,462.78x = 10,538,353,268.21
  5. Step 5: Solve for x
    x = 10,538,353,268.21/114,462.78
  6. Step 6: Final answer
    x = 92,067.95

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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.