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Finding the Fourth Proportional to 157,216.87, 216,982.56 and 92,697.94

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Solution

The fourth proportional to 157,216.87, 216,982.56 and 92,697.94 is: 127,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,216.87 : 216,982.56 = 92,697.94 : x
  2. Step 2: Convert to fraction form
    157,216.87/216,982.56 = 92,697.94/x
  3. Step 3: Cross multiply
    157,216.87x = 216,982.56 × 92,697.94
  4. Step 4: Simplify right side
    157,216.87x = 20,113,836,327.93
  5. Step 5: Solve for x
    x = 20,113,836,327.93/157,216.87
  6. Step 6: Final answer
    x = 127,936.88

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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.