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Finding the Fourth Proportional to 114,707.85, 158,322.13 and 63,738.09

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Solution

The fourth proportional to 114,707.85, 158,322.13 and 63,738.09 is: 87,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,707.85 : 158,322.13 = 63,738.09 : x
  2. Step 2: Convert to fraction form
    114,707.85/158,322.13 = 63,738.09/x
  3. Step 3: Cross multiply
    114,707.85x = 158,322.13 × 63,738.09
  4. Step 4: Simplify right side
    114,707.85x = 10,091,150,170.93
  5. Step 5: Solve for x
    x = 10,091,150,170.93/114,707.85
  6. Step 6: Final answer
    x = 87,972.62

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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.