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Finding the Fourth Proportional to 150,881.52, 208,216.56 and 82,902.84

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Solution

The fourth proportional to 150,881.52, 208,216.56 and 82,902.84 is: 114,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,881.52 : 208,216.56 = 82,902.84 : x
  2. Step 2: Convert to fraction form
    150,881.52/208,216.56 = 82,902.84/x
  3. Step 3: Cross multiply
    150,881.52x = 208,216.56 × 82,902.84
  4. Step 4: Simplify right side
    150,881.52x = 17,261,744,159.03
  5. Step 5: Solve for x
    x = 17,261,744,159.03/150,881.52
  6. Step 6: Final answer
    x = 114,405.95

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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.