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Finding the Fourth Proportional to 208,572.21, 312,951.33 and 96,192

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Solution

The fourth proportional to 208,572.21, 312,951.33 and 96,192 is: 144,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,572.21 : 312,951.33 = 96,192 : x
  2. Step 2: Convert to fraction form
    208,572.21/312,951.33 = 96,192/x
  3. Step 3: Cross multiply
    208,572.21x = 312,951.33 × 96,192
  4. Step 4: Simplify right side
    208,572.21x = 30,103,414,335.36
  5. Step 5: Solve for x
    x = 30,103,414,335.36/208,572.21
  6. Step 6: Final answer
    x = 144,330.90

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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.