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Finding the Fourth Proportional to 175,871.89, 263,812.76 and 109,503.73

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Solution

The fourth proportional to 175,871.89, 263,812.76 and 109,503.73 is: 164,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,871.89 : 263,812.76 = 109,503.73 : x
  2. Step 2: Convert to fraction form
    175,871.89/263,812.76 = 109,503.73/x
  3. Step 3: Cross multiply
    175,871.89x = 263,812.76 × 109,503.73
  4. Step 4: Simplify right side
    175,871.89x = 28,888,479,375.01
  5. Step 5: Solve for x
    x = 28,888,479,375.01/175,871.89
  6. Step 6: Final answer
    x = 164,258.66

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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.