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Finding the Fourth Proportional to 188,595.20, 282,474.84 and 109,513.28

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Solution

The fourth proportional to 188,595.20, 282,474.84 and 109,513.28 is: 164,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,595.20 : 282,474.84 = 109,513.28 : x
  2. Step 2: Convert to fraction form
    188,595.20/282,474.84 = 109,513.28/x
  3. Step 3: Cross multiply
    188,595.20x = 282,474.84 × 109,513.28
  4. Step 4: Simplify right side
    188,595.20x = 30,934,746,245.88
  5. Step 5: Solve for x
    x = 30,934,746,245.88/188,595.20
  6. Step 6: Final answer
    x = 164,027.22

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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.