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Finding the Fourth Proportional to 114,901.31, 158,568.32 and 69,553.64

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Solution

The fourth proportional to 114,901.31, 158,568.32 and 69,553.64 is: 95,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,901.31 : 158,568.32 = 69,553.64 : x
  2. Step 2: Convert to fraction form
    114,901.31/158,568.32 = 69,553.64/x
  3. Step 3: Cross multiply
    114,901.31x = 158,568.32 × 69,553.64
  4. Step 4: Simplify right side
    114,901.31x = 11,029,002,704.08
  5. Step 5: Solve for x
    x = 11,029,002,704.08/114,901.31
  6. Step 6: Final answer
    x = 95,986.75

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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.