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Finding the Fourth Proportional to 208,009.90, 311,764.20 and 95,534.92

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Solution

The fourth proportional to 208,009.90, 311,764.20 and 95,534.92 is: 143,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,009.90 : 311,764.20 = 95,534.92 : x
  2. Step 2: Convert to fraction form
    208,009.90/311,764.20 = 95,534.92/x
  3. Step 3: Cross multiply
    208,009.90x = 311,764.20 × 95,534.92
  4. Step 4: Simplify right side
    208,009.90x = 29,784,367,905.86
  5. Step 5: Solve for x
    x = 29,784,367,905.86/208,009.90
  6. Step 6: Final answer
    x = 143,187.26

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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.