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Finding the Fourth Proportional to 255,893.85, 383,939.73 and 106,095.69

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Solution

The fourth proportional to 255,893.85, 383,939.73 and 106,095.69 is: 159,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,893.85 : 383,939.73 = 106,095.69 : x
  2. Step 2: Convert to fraction form
    255,893.85/383,939.73 = 106,095.69/x
  3. Step 3: Cross multiply
    255,893.85x = 383,939.73 × 106,095.69
  4. Step 4: Simplify right side
    255,893.85x = 40,734,350,572.76
  5. Step 5: Solve for x
    x = 40,734,350,572.76/255,893.85
  6. Step 6: Final answer
    x = 159,184.56

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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.