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Finding the Fourth Proportional to 208,230.90, 312,254.01 and 95,883.90

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Solution

The fourth proportional to 208,230.90, 312,254.01 and 95,883.90 is: 143,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,230.90 : 312,254.01 = 95,883.90 : x
  2. Step 2: Convert to fraction form
    208,230.90/312,254.01 = 95,883.90/x
  3. Step 3: Cross multiply
    208,230.90x = 312,254.01 × 95,883.90
  4. Step 4: Simplify right side
    208,230.90x = 29,940,132,269.44
  5. Step 5: Solve for x
    x = 29,940,132,269.44/208,230.90
  6. Step 6: Final answer
    x = 143,783.33

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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.