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Finding the Fourth Proportional to 254,228.66, 381,443.43 and 96,498.98

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Solution

The fourth proportional to 254,228.66, 381,443.43 and 96,498.98 is: 144,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,228.66 : 381,443.43 = 96,498.98 : x
  2. Step 2: Convert to fraction form
    254,228.66/381,443.43 = 96,498.98/x
  3. Step 3: Cross multiply
    254,228.66x = 381,443.43 × 96,498.98
  4. Step 4: Simplify right side
    254,228.66x = 36,808,901,922.70
  5. Step 5: Solve for x
    x = 36,808,901,922.70/254,228.66
  6. Step 6: Final answer
    x = 144,786.59

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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.