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Finding the Fourth Proportional to 117,935.31, 162,754.74 and 64,221.24

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Solution

The fourth proportional to 117,935.31, 162,754.74 and 64,221.24 is: 88,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,935.31 : 162,754.74 = 64,221.24 : x
  2. Step 2: Convert to fraction form
    117,935.31/162,754.74 = 64,221.24/x
  3. Step 3: Cross multiply
    117,935.31x = 162,754.74 × 64,221.24
  4. Step 4: Simplify right side
    117,935.31x = 10,452,311,218.68
  5. Step 5: Solve for x
    x = 10,452,311,218.68/117,935.31
  6. Step 6: Final answer
    x = 88,627.50

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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.