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Finding the Fourth Proportional to 150,535.64, 225,840.52 and 106,248.89

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Solution

The fourth proportional to 150,535.64, 225,840.52 and 106,248.89 is: 159,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,535.64 : 225,840.52 = 106,248.89 : x
  2. Step 2: Convert to fraction form
    150,535.64/225,840.52 = 106,248.89/x
  3. Step 3: Cross multiply
    150,535.64x = 225,840.52 × 106,248.89
  4. Step 4: Simplify right side
    150,535.64x = 23,995,304,567.02
  5. Step 5: Solve for x
    x = 23,995,304,567.02/150,535.64
  6. Step 6: Final answer
    x = 159,399.49

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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.