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Finding the Fourth Proportional to 206,029.64, 284,356.50 and 116,605.64

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Solution

The fourth proportional to 206,029.64, 284,356.50 and 116,605.64 is: 160,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,029.64 : 284,356.50 = 116,605.64 : x
  2. Step 2: Convert to fraction form
    206,029.64/284,356.50 = 116,605.64/x
  3. Step 3: Cross multiply
    206,029.64x = 284,356.50 × 116,605.64
  4. Step 4: Simplify right side
    206,029.64x = 33,157,571,670.66
  5. Step 5: Solve for x
    x = 33,157,571,670.66/206,029.64
  6. Step 6: Final answer
    x = 160,935.93

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1.5x scale

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.