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Finding the Fourth Proportional to 120,980.14, 166,956.88 and 67,280.38

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Solution

The fourth proportional to 120,980.14, 166,956.88 and 67,280.38 is: 92,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980.14 : 166,956.88 = 67,280.38 : x
  2. Step 2: Convert to fraction form
    120,980.14/166,956.88 = 67,280.38/x
  3. Step 3: Cross multiply
    120,980.14x = 166,956.88 × 67,280.38
  4. Step 4: Simplify right side
    120,980.14x = 11,232,922,330.01
  5. Step 5: Solve for x
    x = 11,232,922,330.01/120,980.14
  6. Step 6: Final answer
    x = 92,849.31

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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.