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Finding the Fourth Proportional to 256,007.14, 383,793.81 and 106,153.90

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Solution

The fourth proportional to 256,007.14, 383,793.81 and 106,153.90 is: 159,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,007.14 : 383,793.81 = 106,153.90 : x
  2. Step 2: Convert to fraction form
    256,007.14/383,793.81 = 106,153.90/x
  3. Step 3: Cross multiply
    256,007.14x = 383,793.81 × 106,153.90
  4. Step 4: Simplify right side
    256,007.14x = 40,741,209,727.36
  5. Step 5: Solve for x
    x = 40,741,209,727.36/256,007.14
  6. Step 6: Final answer
    x = 159,140.91

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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.