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Finding the Fourth Proportional to 215,796.69, 323,698.14 and 82,683.72

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Solution

The fourth proportional to 215,796.69, 323,698.14 and 82,683.72 is: 124,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,796.69 : 323,698.14 = 82,683.72 : x
  2. Step 2: Convert to fraction form
    215,796.69/323,698.14 = 82,683.72/x
  3. Step 3: Cross multiply
    215,796.69x = 323,698.14 × 82,683.72
  4. Step 4: Simplify right side
    215,796.69x = 26,764,566,372.28
  5. Step 5: Solve for x
    x = 26,764,566,372.28/215,796.69
  6. Step 6: Final answer
    x = 124,026.77

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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.