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Finding the Fourth Proportional to 179,309.64, 269,006.58 and 100,478.28

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Solution

The fourth proportional to 179,309.64, 269,006.58 and 100,478.28 is: 150,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,309.64 : 269,006.58 = 100,478.28 : x
  2. Step 2: Convert to fraction form
    179,309.64/269,006.58 = 100,478.28/x
  3. Step 3: Cross multiply
    179,309.64x = 269,006.58 × 100,478.28
  4. Step 4: Simplify right side
    179,309.64x = 27,029,318,467.08
  5. Step 5: Solve for x
    x = 27,029,318,467.08/179,309.64
  6. Step 6: Final answer
    x = 150,741.02

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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.