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Finding the Fourth Proportional to 274,866.77, 412,349.36 and 141,711.27

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Solution

The fourth proportional to 274,866.77, 412,349.36 and 141,711.27 is: 212,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,866.77 : 412,349.36 = 141,711.27 : x
  2. Step 2: Convert to fraction form
    274,866.77/412,349.36 = 141,711.27/x
  3. Step 3: Cross multiply
    274,866.77x = 412,349.36 × 141,711.27
  4. Step 4: Simplify right side
    274,866.77x = 58,434,550,780.73
  5. Step 5: Solve for x
    x = 58,434,550,780.73/274,866.77
  6. Step 6: Final answer
    x = 212,592.27

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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.