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Finding the Fourth Proportional to 102,749.91, 154,124.15 and 52,843.92

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Solution

The fourth proportional to 102,749.91, 154,124.15 and 52,843.92 is: 79,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,749.91 : 154,124.15 = 52,843.92 : x
  2. Step 2: Convert to fraction form
    102,749.91/154,124.15 = 52,843.92/x
  3. Step 3: Cross multiply
    102,749.91x = 154,124.15 × 52,843.92
  4. Step 4: Simplify right side
    102,749.91x = 8,144,523,988.45
  5. Step 5: Solve for x
    x = 8,144,523,988.45/102,749.91
  6. Step 6: Final answer
    x = 79,265.51

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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.