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Finding the Fourth Proportional to 205,821.64, 284,047.14 and 115,185.88

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Solution

The fourth proportional to 205,821.64, 284,047.14 and 115,185.88 is: 158,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,821.64 : 284,047.14 = 115,185.88 : x
  2. Step 2: Convert to fraction form
    205,821.64/284,047.14 = 115,185.88/x
  3. Step 3: Cross multiply
    205,821.64x = 284,047.14 × 115,185.88
  4. Step 4: Simplify right side
    205,821.64x = 32,718,219,782.38
  5. Step 5: Solve for x
    x = 32,718,219,782.38/205,821.64
  6. Step 6: Final answer
    x = 158,963.94

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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.