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Finding the Fourth Proportional to 254,157.65, 381,009.83 and 96,496.82

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Solution

The fourth proportional to 254,157.65, 381,009.83 and 96,496.82 is: 144,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,157.65 : 381,009.83 = 96,496.82 : x
  2. Step 2: Convert to fraction form
    254,157.65/381,009.83 = 96,496.82/x
  3. Step 3: Cross multiply
    254,157.65x = 381,009.83 × 96,496.82
  4. Step 4: Simplify right side
    254,157.65x = 36,766,236,024.99
  5. Step 5: Solve for x
    x = 36,766,236,024.99/254,157.65
  6. Step 6: Final answer
    x = 144,659.18

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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.