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Finding the Fourth Proportional to 120,963.96, 166,930.95 and 67,254

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Solution

The fourth proportional to 120,963.96, 166,930.95 and 67,254 is: 92,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,963.96 : 166,930.95 = 67,254 : x
  2. Step 2: Convert to fraction form
    120,963.96/166,930.95 = 67,254/x
  3. Step 3: Cross multiply
    120,963.96x = 166,930.95 × 67,254
  4. Step 4: Simplify right side
    120,963.96x = 11,226,774,111.30
  5. Step 5: Solve for x
    x = 11,226,774,111.30/120,963.96
  6. Step 6: Final answer
    x = 92,810.90

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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.