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Finding the Fourth Proportional to 208,197.83, 312,299.30 and 73,265.93

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Solution

The fourth proportional to 208,197.83, 312,299.30 and 73,265.93 is: 109,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,197.83 : 312,299.30 = 73,265.93 : x
  2. Step 2: Convert to fraction form
    208,197.83/312,299.30 = 73,265.93/x
  3. Step 3: Cross multiply
    208,197.83x = 312,299.30 × 73,265.93
  4. Step 4: Simplify right side
    208,197.83x = 22,880,897,091.35
  5. Step 5: Solve for x
    x = 22,880,897,091.35/208,197.83
  6. Step 6: Final answer
    x = 109,899.79

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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.