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Finding the Fourth Proportional to 120,642.46, 166,478.76 and 66,927.34

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Solution

The fourth proportional to 120,642.46, 166,478.76 and 66,927.34 is: 92,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,642.46 : 166,478.76 = 66,927.34 : x
  2. Step 2: Convert to fraction form
    120,642.46/166,478.76 = 66,927.34/x
  3. Step 3: Cross multiply
    120,642.46x = 166,478.76 × 66,927.34
  4. Step 4: Simplify right side
    120,642.46x = 11,141,980,573.30
  5. Step 5: Solve for x
    x = 11,141,980,573.30/120,642.46
  6. Step 6: Final answer
    x = 92,355.38

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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.