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Finding the Fourth Proportional to 150,818.70, 208,132.31 and 82,841.96

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Solution

The fourth proportional to 150,818.70, 208,132.31 and 82,841.96 is: 114,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,818.70 : 208,132.31 = 82,841.96 : x
  2. Step 2: Convert to fraction form
    150,818.70/208,132.31 = 82,841.96/x
  3. Step 3: Cross multiply
    150,818.70x = 208,132.31 × 82,841.96
  4. Step 4: Simplify right side
    150,818.70x = 17,242,088,499.73
  5. Step 5: Solve for x
    x = 17,242,088,499.73/150,818.70
  6. Step 6: Final answer
    x = 114,323.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.