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Finding the Fourth Proportional to 208,330.96, 312,080.19 and 95,856.97

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Solution

The fourth proportional to 208,330.96, 312,080.19 and 95,856.97 is: 143,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,330.96 : 312,080.19 = 95,856.97 : x
  2. Step 2: Convert to fraction form
    208,330.96/312,080.19 = 95,856.97/x
  3. Step 3: Cross multiply
    208,330.96x = 312,080.19 × 95,856.97
  4. Step 4: Simplify right side
    208,330.96x = 29,915,061,395.11
  5. Step 5: Solve for x
    x = 29,915,061,395.11/208,330.96
  6. Step 6: Final answer
    x = 143,593.93

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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.