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Finding the Fourth Proportional to 206,485.64, 284,971.70 and 115,866.04

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Solution

The fourth proportional to 206,485.64, 284,971.70 and 115,866.04 is: 159,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,485.64 : 284,971.70 = 115,866.04 : x
  2. Step 2: Convert to fraction form
    206,485.64/284,971.70 = 115,866.04/x
  3. Step 3: Cross multiply
    206,485.64x = 284,971.70 × 115,866.04
  4. Step 4: Simplify right side
    206,485.64x = 33,018,542,391.07
  5. Step 5: Solve for x
    x = 33,018,542,391.07/206,485.64
  6. Step 6: Final answer
    x = 159,907.21

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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.