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Finding the Fourth Proportional to 254,622, 382,017.24 and 136,266.96

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Solution

The fourth proportional to 254,622, 382,017.24 and 136,266.96 is: 204,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,622 : 382,017.24 = 136,266.96 : x
  2. Step 2: Convert to fraction form
    254,622/382,017.24 = 136,266.96/x
  3. Step 3: Cross multiply
    254,622x = 382,017.24 × 136,266.96
  4. Step 4: Simplify right side
    254,622x = 52,056,327,962.39
  5. Step 5: Solve for x
    x = 52,056,327,962.39/254,622
  6. Step 6: Final answer
    x = 204,445.52

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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.