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Finding the Fourth Proportional to 114,494.64, 158,057.64 and 72,076.56

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Solution

The fourth proportional to 114,494.64, 158,057.64 and 72,076.56 is: 99,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,494.64 : 158,057.64 = 72,076.56 : x
  2. Step 2: Convert to fraction form
    114,494.64/158,057.64 = 72,076.56/x
  3. Step 3: Cross multiply
    114,494.64x = 158,057.64 × 72,076.56
  4. Step 4: Simplify right side
    114,494.64x = 11,392,250,972.92
  5. Step 5: Solve for x
    x = 11,392,250,972.92/114,494.64
  6. Step 6: Final answer
    x = 99,500.30

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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.