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Finding the Fourth Proportional to 114,406.38, 157,880.84 and 69,694.38

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Solution

The fourth proportional to 114,406.38, 157,880.84 and 69,694.38 is: 96,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,406.38 : 157,880.84 = 69,694.38 : x
  2. Step 2: Convert to fraction form
    114,406.38/157,880.84 = 69,694.38/x
  3. Step 3: Cross multiply
    114,406.38x = 157,880.84 × 69,694.38
  4. Step 4: Simplify right side
    114,406.38x = 11,003,407,257.68
  5. Step 5: Solve for x
    x = 11,003,407,257.68/114,406.38
  6. Step 6: Final answer
    x = 96,178.27

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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.