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Finding the Fourth Proportional to 254,711.10, 381,823.65 and 94,744.20

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Solution

The fourth proportional to 254,711.10, 381,823.65 and 94,744.20 is: 142,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,711.10 : 381,823.65 = 94,744.20 : x
  2. Step 2: Convert to fraction form
    254,711.10/381,823.65 = 94,744.20/x
  3. Step 3: Cross multiply
    254,711.10x = 381,823.65 × 94,744.20
  4. Step 4: Simplify right side
    254,711.10x = 36,175,576,260.33
  5. Step 5: Solve for x
    x = 36,175,576,260.33/254,711.10
  6. Step 6: Final answer
    x = 142,025.91

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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.