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Finding the Fourth Proportional to 119,161.70, 178,767.15 and 34,924.61

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Solution

The fourth proportional to 119,161.70, 178,767.15 and 34,924.61 is: 52,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,161.70 : 178,767.15 = 34,924.61 : x
  2. Step 2: Convert to fraction form
    119,161.70/178,767.15 = 34,924.61/x
  3. Step 3: Cross multiply
    119,161.70x = 178,767.15 × 34,924.61
  4. Step 4: Simplify right side
    119,161.70x = 6,243,372,100.73
  5. Step 5: Solve for x
    x = 6,243,372,100.73/119,161.70
  6. Step 6: Final answer
    x = 52,394.12

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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.