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Finding the Fourth Proportional to 254,103.40, 381,306.30 and 96,347.80

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Solution

The fourth proportional to 254,103.40, 381,306.30 and 96,347.80 is: 144,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,103.40 : 381,306.30 = 96,347.80 : x
  2. Step 2: Convert to fraction form
    254,103.40/381,306.30 = 96,347.80/x
  3. Step 3: Cross multiply
    254,103.40x = 381,306.30 × 96,347.80
  4. Step 4: Simplify right side
    254,103.40x = 36,738,023,131.14
  5. Step 5: Solve for x
    x = 36,738,023,131.14/254,103.40
  6. Step 6: Final answer
    x = 144,579.03

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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.