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Finding the Fourth Proportional to 179,406.92, 269,016.96 and 66,994.70

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Solution

The fourth proportional to 179,406.92, 269,016.96 and 66,994.70 is: 100,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,406.92 : 269,016.96 = 66,994.70 : x
  2. Step 2: Convert to fraction form
    179,406.92/269,016.96 = 66,994.70/x
  3. Step 3: Cross multiply
    179,406.92x = 269,016.96 × 66,994.70
  4. Step 4: Simplify right side
    179,406.92x = 18,022,710,530.11
  5. Step 5: Solve for x
    x = 18,022,710,530.11/179,406.92
  6. Step 6: Final answer
    x = 100,457.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.