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Finding the Fourth Proportional to 254,254.84, 381,328.26 and 96,427.96

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Solution

The fourth proportional to 254,254.84, 381,328.26 and 96,427.96 is: 144,621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,254.84 : 381,328.26 = 96,427.96 : x
  2. Step 2: Convert to fraction form
    254,254.84/381,328.26 = 96,427.96/x
  3. Step 3: Cross multiply
    254,254.84x = 381,328.26 × 96,427.96
  4. Step 4: Simplify right side
    254,254.84x = 36,770,706,202.15
  5. Step 5: Solve for x
    x = 36,770,706,202.15/254,254.84
  6. Step 6: Final answer
    x = 144,621.46

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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.