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Finding the Fourth Proportional to 254,433.64, 381,659.10 and 67,464.04

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Solution

The fourth proportional to 254,433.64, 381,659.10 and 67,464.04 is: 101,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,433.64 : 381,659.10 = 67,464.04 : x
  2. Step 2: Convert to fraction form
    254,433.64/381,659.10 = 67,464.04/x
  3. Step 3: Cross multiply
    254,433.64x = 381,659.10 × 67,464.04
  4. Step 4: Simplify right side
    254,433.64x = 25,748,264,788.76
  5. Step 5: Solve for x
    x = 25,748,264,788.76/254,433.64
  6. Step 6: Final answer
    x = 101,198.35

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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.