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Finding the Fourth Proportional to 254,252.62, 381,440.59 and 76,749.02

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Solution

The fourth proportional to 254,252.62, 381,440.59 and 76,749.02 is: 115,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,252.62 : 381,440.59 = 76,749.02 : x
  2. Step 2: Convert to fraction form
    254,252.62/381,440.59 = 76,749.02/x
  3. Step 3: Cross multiply
    254,252.62x = 381,440.59 × 76,749.02
  4. Step 4: Simplify right side
    254,252.62x = 29,275,189,179.77
  5. Step 5: Solve for x
    x = 29,275,189,179.77/254,252.62
  6. Step 6: Final answer
    x = 115,142.14

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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.