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Finding the Fourth Proportional to 168,013.76, 252,020.64 and 97,843.87

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Solution

The fourth proportional to 168,013.76, 252,020.64 and 97,843.87 is: 146,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,013.76 : 252,020.64 = 97,843.87 : x
  2. Step 2: Convert to fraction form
    168,013.76/252,020.64 = 97,843.87/x
  3. Step 3: Cross multiply
    168,013.76x = 252,020.64 × 97,843.87
  4. Step 4: Simplify right side
    168,013.76x = 24,658,674,737.48
  5. Step 5: Solve for x
    x = 24,658,674,737.48/168,013.76
  6. Step 6: Final answer
    x = 146,765.81

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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.