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Finding the Fourth Proportional to 275,060.64, 412,555.91 and 106,465.62

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Solution

The fourth proportional to 275,060.64, 412,555.91 and 106,465.62 is: 159,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,060.64 : 412,555.91 = 106,465.62 : x
  2. Step 2: Convert to fraction form
    275,060.64/412,555.91 = 106,465.62/x
  3. Step 3: Cross multiply
    275,060.64x = 412,555.91 × 106,465.62
  4. Step 4: Simplify right side
    275,060.64x = 43,923,020,210.49
  5. Step 5: Solve for x
    x = 43,923,020,210.49/275,060.64
  6. Step 6: Final answer
    x = 159,684.86

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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.