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Finding the Fourth Proportional to 254,107.53, 381,022.13 and 117,182.04

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Solution

The fourth proportional to 254,107.53, 381,022.13 and 117,182.04 is: 175,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,107.53 : 381,022.13 = 117,182.04 : x
  2. Step 2: Convert to fraction form
    254,107.53/381,022.13 = 117,182.04/x
  3. Step 3: Cross multiply
    254,107.53x = 381,022.13 × 117,182.04
  4. Step 4: Simplify right side
    254,107.53x = 44,648,950,826.77
  5. Step 5: Solve for x
    x = 44,648,950,826.77/254,107.53
  6. Step 6: Final answer
    x = 175,708.89

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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.