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Finding the Fourth Proportional to 254,872.20, 382,599.90 and 149,750.40

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Solution

The fourth proportional to 254,872.20, 382,599.90 and 149,750.40 is: 224,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,872.20 : 382,599.90 = 149,750.40 : x
  2. Step 2: Convert to fraction form
    254,872.20/382,599.90 = 149,750.40/x
  3. Step 3: Cross multiply
    254,872.20x = 382,599.90 × 149,750.40
  4. Step 4: Simplify right side
    254,872.20x = 57,294,488,064.96
  5. Step 5: Solve for x
    x = 57,294,488,064.96/254,872.20
  6. Step 6: Final answer
    x = 224,796.93

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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.