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Finding the Fourth Proportional to 150,546.84, 207,754.31 and 86,884.64

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Solution

The fourth proportional to 150,546.84, 207,754.31 and 86,884.64 is: 119,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,546.84 : 207,754.31 = 86,884.64 : x
  2. Step 2: Convert to fraction form
    150,546.84/207,754.31 = 86,884.64/x
  3. Step 3: Cross multiply
    150,546.84x = 207,754.31 × 86,884.64
  4. Step 4: Simplify right side
    150,546.84x = 18,050,656,959.60
  5. Step 5: Solve for x
    x = 18,050,656,959.60/150,546.84
  6. Step 6: Final answer
    x = 119,900.60

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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.