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Finding the Fourth Proportional to 208,204.20, 312,259.50 and 95,776.47

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Solution

The fourth proportional to 208,204.20, 312,259.50 and 95,776.47 is: 143,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,204.20 : 312,259.50 = 95,776.47 : x
  2. Step 2: Convert to fraction form
    208,204.20/312,259.50 = 95,776.47/x
  3. Step 3: Cross multiply
    208,204.20x = 312,259.50 × 95,776.47
  4. Step 4: Simplify right side
    208,204.20x = 29,907,112,633.97
  5. Step 5: Solve for x
    x = 29,907,112,633.97/208,204.20
  6. Step 6: Final answer
    x = 143,643.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.