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Finding the Fourth Proportional to 215,582.92, 323,295.54 and 82,397.32

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Solution

The fourth proportional to 215,582.92, 323,295.54 and 82,397.32 is: 123,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,582.92 : 323,295.54 = 82,397.32 : x
  2. Step 2: Convert to fraction form
    215,582.92/323,295.54 = 82,397.32/x
  3. Step 3: Cross multiply
    215,582.92x = 323,295.54 × 82,397.32
  4. Step 4: Simplify right side
    215,582.92x = 26,638,686,063.95
  5. Step 5: Solve for x
    x = 26,638,686,063.95/215,582.92
  6. Step 6: Final answer
    x = 123,565.85

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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.