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Finding the Fourth Proportional to 118,665.84, 177,998.76 and 29,919

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Solution

The fourth proportional to 118,665.84, 177,998.76 and 29,919 is: 44,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,665.84 : 177,998.76 = 29,919 : x
  2. Step 2: Convert to fraction form
    118,665.84/177,998.76 = 29,919/x
  3. Step 3: Cross multiply
    118,665.84x = 177,998.76 × 29,919
  4. Step 4: Simplify right side
    118,665.84x = 5,325,544,900.44
  5. Step 5: Solve for x
    x = 5,325,544,900.44/118,665.84
  6. Step 6: Final answer
    x = 44,878.50

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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.