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Finding the Fourth Proportional to 114,535.76, 158,067.24 and 64,238

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Solution

The fourth proportional to 114,535.76, 158,067.24 and 64,238 is: 88,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,535.76 : 158,067.24 = 64,238 : x
  2. Step 2: Convert to fraction form
    114,535.76/158,067.24 = 64,238/x
  3. Step 3: Cross multiply
    114,535.76x = 158,067.24 × 64,238
  4. Step 4: Simplify right side
    114,535.76x = 10,153,923,363.12
  5. Step 5: Solve for x
    x = 10,153,923,363.12/114,535.76
  6. Step 6: Final answer
    x = 88,652.87

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