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Finding the Fourth Proportional to 274,706.87, 412,200.95 and 130,775.58

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Solution

The fourth proportional to 274,706.87, 412,200.95 and 130,775.58 is: 196,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,706.87 : 412,200.95 = 130,775.58 : x
  2. Step 2: Convert to fraction form
    274,706.87/412,200.95 = 130,775.58/x
  3. Step 3: Cross multiply
    274,706.87x = 412,200.95 × 130,775.58
  4. Step 4: Simplify right side
    274,706.87x = 53,905,817,658.92
  5. Step 5: Solve for x
    x = 53,905,817,658.92/274,706.87
  6. Step 6: Final answer
    x = 196,230.33

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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.