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Finding the Fourth Proportional to 117,796.98, 162,558.14 and 64,082.46

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Solution

The fourth proportional to 117,796.98, 162,558.14 and 64,082.46 is: 88,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,796.98 : 162,558.14 = 64,082.46 : x
  2. Step 2: Convert to fraction form
    117,796.98/162,558.14 = 64,082.46/x
  3. Step 3: Cross multiply
    117,796.98x = 162,558.14 × 64,082.46
  4. Step 4: Simplify right side
    117,796.98x = 10,417,125,504.22
  5. Step 5: Solve for x
    x = 10,417,125,504.22/117,796.98
  6. Step 6: Final answer
    x = 88,432.87

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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.