Home / 204,938.46-282,814.53-114,294.54

Finding the Fourth Proportional to 204,938.46, 282,814.53 and 114,294.54

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Solution

The fourth proportional to 204,938.46, 282,814.53 and 114,294.54 is: 157,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,938.46 : 282,814.53 = 114,294.54 : x
  2. Step 2: Convert to fraction form
    204,938.46/282,814.53 = 114,294.54/x
  3. Step 3: Cross multiply
    204,938.46x = 282,814.53 × 114,294.54
  4. Step 4: Simplify right side
    204,938.46x = 32,324,156,611.67
  5. Step 5: Solve for x
    x = 32,324,156,611.67/204,938.46
  6. Step 6: Final answer
    x = 157,726.16

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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.