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Finding the Fourth Proportional to 188,207.01, 282,383.96 and 82,951.83

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Solution

The fourth proportional to 188,207.01, 282,383.96 and 82,951.83 is: 124,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,207.01 : 282,383.96 = 82,951.83 : x
  2. Step 2: Convert to fraction form
    188,207.01/282,383.96 = 82,951.83/x
  3. Step 3: Cross multiply
    188,207.01x = 282,383.96 × 82,951.83
  4. Step 4: Simplify right side
    188,207.01x = 23,424,265,829.89
  5. Step 5: Solve for x
    x = 23,424,265,829.89/188,207.01
  6. Step 6: Final answer
    x = 124,460.11

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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.