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Finding the Fourth Proportional to 150,539.83, 225,847.71 and 106,253.08

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Solution

The fourth proportional to 150,539.83, 225,847.71 and 106,253.08 is: 159,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,539.83 : 225,847.71 = 106,253.08 : x
  2. Step 2: Convert to fraction form
    150,539.83/225,847.71 = 106,253.08/x
  3. Step 3: Cross multiply
    150,539.83x = 225,847.71 × 106,253.08
  4. Step 4: Simplify right side
    150,539.83x = 23,997,014,233.83
  5. Step 5: Solve for x
    x = 23,997,014,233.83/150,539.83
  6. Step 6: Final answer
    x = 159,406.42

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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.