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Finding the Fourth Proportional to 206,354.02, 284,762.64 and 125,752.12

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Solution

The fourth proportional to 206,354.02, 284,762.64 and 125,752.12 is: 173,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,354.02 : 284,762.64 = 125,752.12 : x
  2. Step 2: Convert to fraction form
    206,354.02/284,762.64 = 125,752.12/x
  3. Step 3: Cross multiply
    206,354.02x = 284,762.64 × 125,752.12
  4. Step 4: Simplify right side
    206,354.02x = 35,809,505,676.80
  5. Step 5: Solve for x
    x = 35,809,505,676.80/206,354.02
  6. Step 6: Final answer
    x = 173,534.33

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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.