Home / 204,851.49-282,696.24-114,213.16

Finding the Fourth Proportional to 204,851.49, 282,696.24 and 114,213.16

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Solution

The fourth proportional to 204,851.49, 282,696.24 and 114,213.16 is: 157,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,851.49 : 282,696.24 = 114,213.16 : x
  2. Step 2: Convert to fraction form
    204,851.49/282,696.24 = 114,213.16/x
  3. Step 3: Cross multiply
    204,851.49x = 282,696.24 × 114,213.16
  4. Step 4: Simplify right side
    204,851.49x = 32,287,630,890.52
  5. Step 5: Solve for x
    x = 32,287,630,890.52/204,851.49
  6. Step 6: Final answer
    x = 157,614.82

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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.