Home / 204,971.10-282,859.40-114,327

Finding the Fourth Proportional to 204,971.10, 282,859.40 and 114,327

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Solution

The fourth proportional to 204,971.10, 282,859.40 and 114,327 is: 157,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,971.10 : 282,859.40 = 114,327 : x
  2. Step 2: Convert to fraction form
    204,971.10/282,859.40 = 114,327/x
  3. Step 3: Cross multiply
    204,971.10x = 282,859.40 × 114,327
  4. Step 4: Simplify right side
    204,971.10x = 32,338,466,052.17
  5. Step 5: Solve for x
    x = 32,338,466,052.17/204,971.10
  6. Step 6: Final answer
    x = 157,770.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.