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Finding the Fourth Proportional to 102,906.96, 154,363.68 and 36,337.92

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Solution

The fourth proportional to 102,906.96, 154,363.68 and 36,337.92 is: 54,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.96 : 154,363.68 = 36,337.92 : x
  2. Step 2: Convert to fraction form
    102,906.96/154,363.68 = 36,337.92/x
  3. Step 3: Cross multiply
    102,906.96x = 154,363.68 × 36,337.92
  4. Step 4: Simplify right side
    102,906.96x = 5,609,255,054.75
  5. Step 5: Solve for x
    x = 5,609,255,054.75/102,906.96
  6. Step 6: Final answer
    x = 54,508.02

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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.