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Finding the Fourth Proportional to 206,281.25, 284,668.13 and 116,857.25

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Solution

The fourth proportional to 206,281.25, 284,668.13 and 116,857.25 is: 161,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,281.25 : 284,668.13 = 116,857.25 : x
  2. Step 2: Convert to fraction form
    206,281.25/284,668.13 = 116,857.25/x
  3. Step 3: Cross multiply
    206,281.25x = 284,668.13 × 116,857.25
  4. Step 4: Simplify right side
    206,281.25x = 33,265,534,250.16
  5. Step 5: Solve for x
    x = 33,265,534,250.16/206,281.25
  6. Step 6: Final answer
    x = 161,263.01

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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.