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Finding the Fourth Proportional to 120,833.30, 166,749.89 and 67,123.32

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Solution

The fourth proportional to 120,833.30, 166,749.89 and 67,123.32 is: 92,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,833.30 : 166,749.89 = 67,123.32 : x
  2. Step 2: Convert to fraction form
    120,833.30/166,749.89 = 67,123.32/x
  3. Step 3: Cross multiply
    120,833.30x = 166,749.89 × 67,123.32
  4. Step 4: Simplify right side
    120,833.30x = 11,192,805,643.07
  5. Step 5: Solve for x
    x = 11,192,805,643.07/120,833.30
  6. Step 6: Final answer
    x = 92,630.14

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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.