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Finding the Fourth Proportional to 188,009.49, 282,193.28 and 116,716.34

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Solution

The fourth proportional to 188,009.49, 282,193.28 and 116,716.34 is: 175,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,009.49 : 282,193.28 = 116,716.34 : x
  2. Step 2: Convert to fraction form
    188,009.49/282,193.28 = 116,716.34/x
  3. Step 3: Cross multiply
    188,009.49x = 282,193.28 × 116,716.34
  4. Step 4: Simplify right side
    188,009.49x = 32,936,564,819.65
  5. Step 5: Solve for x
    x = 32,936,564,819.65/188,009.49
  6. Step 6: Final answer
    x = 175,185.65

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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.