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Finding the Fourth Proportional to 254,372, 381,565.29 and 67,383.50

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Solution

The fourth proportional to 254,372, 381,565.29 and 67,383.50 is: 101,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,372 : 381,565.29 = 67,383.50 : x
  2. Step 2: Convert to fraction form
    254,372/381,565.29 = 67,383.50/x
  3. Step 3: Cross multiply
    254,372x = 381,565.29 × 67,383.50
  4. Step 4: Simplify right side
    254,372x = 25,711,204,718.72
  5. Step 5: Solve for x
    x = 25,711,204,718.72/254,372
  6. Step 6: Final answer
    x = 101,077.18

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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.