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Finding the Fourth Proportional to 206,385.36, 284,862.60 and 125,857.32

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Solution

The fourth proportional to 206,385.36, 284,862.60 and 125,857.32 is: 173,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,385.36 : 284,862.60 = 125,857.32 : x
  2. Step 2: Convert to fraction form
    206,385.36/284,862.60 = 125,857.32/x
  3. Step 3: Cross multiply
    206,385.36x = 284,862.60 × 125,857.32
  4. Step 4: Simplify right side
    206,385.36x = 35,852,043,404.23
  5. Step 5: Solve for x
    x = 35,852,043,404.23/206,385.36
  6. Step 6: Final answer
    x = 173,714.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.