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Finding the Fourth Proportional to 120,970.78, 166,930.18 and 67,252.52

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Solution

The fourth proportional to 120,970.78, 166,930.18 and 67,252.52 is: 92,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970.78 : 166,930.18 = 67,252.52 : x
  2. Step 2: Convert to fraction form
    120,970.78/166,930.18 = 67,252.52/x
  3. Step 3: Cross multiply
    120,970.78x = 166,930.18 × 67,252.52
  4. Step 4: Simplify right side
    120,970.78x = 11,226,475,269.05
  5. Step 5: Solve for x
    x = 11,226,475,269.05/120,970.78
  6. Step 6: Final answer
    x = 92,803.20

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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.