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Finding the Fourth Proportional to 150,507.14, 225,858.33 and 65,201.31

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Solution

The fourth proportional to 150,507.14, 225,858.33 and 65,201.31 is: 97,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,507.14 : 225,858.33 = 65,201.31 : x
  2. Step 2: Convert to fraction form
    150,507.14/225,858.33 = 65,201.31/x
  3. Step 3: Cross multiply
    150,507.14x = 225,858.33 × 65,201.31
  4. Step 4: Simplify right side
    150,507.14x = 14,726,258,990.41
  5. Step 5: Solve for x
    x = 14,726,258,990.41/150,507.14
  6. Step 6: Final answer
    x = 97,844.26

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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.