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Finding the Fourth Proportional to 129,005.50, 193,458.54 and 50,109.34

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Solution

The fourth proportional to 129,005.50, 193,458.54 and 50,109.34 is: 75,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,005.50 : 193,458.54 = 50,109.34 : x
  2. Step 2: Convert to fraction form
    129,005.50/193,458.54 = 50,109.34/x
  3. Step 3: Cross multiply
    129,005.50x = 193,458.54 × 50,109.34
  4. Step 4: Simplify right side
    129,005.50x = 9,694,079,756.76
  5. Step 5: Solve for x
    x = 9,694,079,756.76/129,005.50
  6. Step 6: Final answer
    x = 75,144.70

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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.