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Finding the Fourth Proportional to 120,411.37, 166,104.69 and 74,456.32

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Solution

The fourth proportional to 120,411.37, 166,104.69 and 74,456.32 is: 102,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,411.37 : 166,104.69 = 74,456.32 : x
  2. Step 2: Convert to fraction form
    120,411.37/166,104.69 = 74,456.32/x
  3. Step 3: Cross multiply
    120,411.37x = 166,104.69 × 74,456.32
  4. Step 4: Simplify right side
    120,411.37x = 12,367,543,952.14
  5. Step 5: Solve for x
    x = 12,367,543,952.14/120,411.37
  6. Step 6: Final answer
    x = 102,710.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.