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Finding the Fourth Proportional to 149,999.50, 225,011.20 and 50,160.32

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Solution

The fourth proportional to 149,999.50, 225,011.20 and 50,160.32 is: 75,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,999.50 : 225,011.20 = 50,160.32 : x
  2. Step 2: Convert to fraction form
    149,999.50/225,011.20 = 50,160.32/x
  3. Step 3: Cross multiply
    149,999.50x = 225,011.20 × 50,160.32
  4. Step 4: Simplify right side
    149,999.50x = 11,286,633,795.58
  5. Step 5: Solve for x
    x = 11,286,633,795.58/149,999.50
  6. Step 6: Final answer
    x = 75,244.48

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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.