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Finding the Fourth Proportional to 102,704.92, 154,184.24 and 48,721.22

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Solution

The fourth proportional to 102,704.92, 154,184.24 and 48,721.22 is: 73,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,704.92 : 154,184.24 = 48,721.22 : x
  2. Step 2: Convert to fraction form
    102,704.92/154,184.24 = 48,721.22/x
  3. Step 3: Cross multiply
    102,704.92x = 154,184.24 × 48,721.22
  4. Step 4: Simplify right side
    102,704.92x = 7,512,044,277.57
  5. Step 5: Solve for x
    x = 7,512,044,277.57/102,704.92
  6. Step 6: Final answer
    x = 73,142.01

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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.