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Finding the Fourth Proportional to 205,958, 284,226.36 and 116,534

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Solution

The fourth proportional to 205,958, 284,226.36 and 116,534 is: 160,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,958 : 284,226.36 = 116,534 : x
  2. Step 2: Convert to fraction form
    205,958/284,226.36 = 116,534/x
  3. Step 3: Cross multiply
    205,958x = 284,226.36 × 116,534
  4. Step 4: Simplify right side
    205,958x = 33,122,034,636.24
  5. Step 5: Solve for x
    x = 33,122,034,636.24/205,958
  6. Step 6: Final answer
    x = 160,819.36

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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.