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Finding the Fourth Proportional to 206,259.40, 284,651.12 and 115,615.38

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Solution

The fourth proportional to 206,259.40, 284,651.12 and 115,615.38 is: 159,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,259.40 : 284,651.12 = 115,615.38 : x
  2. Step 2: Convert to fraction form
    206,259.40/284,651.12 = 115,615.38/x
  3. Step 3: Cross multiply
    206,259.40x = 284,651.12 × 115,615.38
  4. Step 4: Simplify right side
    206,259.40x = 32,910,048,762.71
  5. Step 5: Solve for x
    x = 32,910,048,762.71/206,259.40
  6. Step 6: Final answer
    x = 159,556.60

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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.