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Finding the Fourth Proportional to 117,220.84, 175,828.78 and 28,474.76

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Solution

The fourth proportional to 117,220.84, 175,828.78 and 28,474.76 is: 42,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,220.84 : 175,828.78 = 28,474.76 : x
  2. Step 2: Convert to fraction form
    117,220.84/175,828.78 = 28,474.76/x
  3. Step 3: Cross multiply
    117,220.84x = 175,828.78 × 28,474.76
  4. Step 4: Simplify right side
    117,220.84x = 5,006,682,311.59
  5. Step 5: Solve for x
    x = 5,006,682,311.59/117,220.84
  6. Step 6: Final answer
    x = 42,711.54

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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.