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Finding the Fourth Proportional to 208,520.06, 312,538.10 and 95,963.94

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Solution

The fourth proportional to 208,520.06, 312,538.10 and 95,963.94 is: 143,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,520.06 : 312,538.10 = 95,963.94 : x
  2. Step 2: Convert to fraction form
    208,520.06/312,538.10 = 95,963.94/x
  3. Step 3: Cross multiply
    208,520.06x = 312,538.10 × 95,963.94
  4. Step 4: Simplify right side
    208,520.06x = 29,992,386,996.29
  5. Step 5: Solve for x
    x = 29,992,386,996.29/208,520.06
  6. Step 6: Final answer
    x = 143,834.54

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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.