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Finding the Fourth Proportional to 254,238.50, 381,339.17 and 119,333.30

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Solution

The fourth proportional to 254,238.50, 381,339.17 and 119,333.30 is: 178,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,238.50 : 381,339.17 = 119,333.30 : x
  2. Step 2: Convert to fraction form
    254,238.50/381,339.17 = 119,333.30/x
  3. Step 3: Cross multiply
    254,238.50x = 381,339.17 × 119,333.30
  4. Step 4: Simplify right side
    254,238.50x = 45,506,461,932.04
  5. Step 5: Solve for x
    x = 45,506,461,932.04/254,238.50
  6. Step 6: Final answer
    x = 178,991.23

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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.