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Finding the Fourth Proportional to 254,443.70, 381,811.35 and 96,785.30

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Solution

The fourth proportional to 254,443.70, 381,811.35 and 96,785.30 is: 145,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,443.70 : 381,811.35 = 96,785.30 : x
  2. Step 2: Convert to fraction form
    254,443.70/381,811.35 = 96,785.30/x
  3. Step 3: Cross multiply
    254,443.70x = 381,811.35 × 96,785.30
  4. Step 4: Simplify right side
    254,443.70x = 36,953,726,053.16
  5. Step 5: Solve for x
    x = 36,953,726,053.16/254,443.70
  6. Step 6: Final answer
    x = 145,233.41

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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.