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Finding the Fourth Proportional to 150,818.95, 208,132.64 and 82,842.20

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Solution

The fourth proportional to 150,818.95, 208,132.64 and 82,842.20 is: 114,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,818.95 : 208,132.64 = 82,842.20 : x
  2. Step 2: Convert to fraction form
    150,818.95/208,132.64 = 82,842.20/x
  3. Step 3: Cross multiply
    150,818.95x = 208,132.64 × 82,842.20
  4. Step 4: Simplify right side
    150,818.95x = 17,242,166,516.85
  5. Step 5: Solve for x
    x = 17,242,166,516.85/150,818.95
  6. Step 6: Final answer
    x = 114,323.61

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