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Finding the Fourth Proportional to 188,575.08, 282,917.90 and 76,197.30

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Solution

The fourth proportional to 188,575.08, 282,917.90 and 76,197.30 is: 114,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,575.08 : 282,917.90 = 76,197.30 : x
  2. Step 2: Convert to fraction form
    188,575.08/282,917.90 = 76,197.30/x
  3. Step 3: Cross multiply
    188,575.08x = 282,917.90 × 76,197.30
  4. Step 4: Simplify right side
    188,575.08x = 21,557,580,101.67
  5. Step 5: Solve for x
    x = 21,557,580,101.67/188,575.08
  6. Step 6: Final answer
    x = 114,318.29

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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.