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Finding the Fourth Proportional to 171,845.94, 257,957.46 and 136,534.20

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Solution

The fourth proportional to 171,845.94, 257,957.46 and 136,534.20 is: 204,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,845.94 : 257,957.46 = 136,534.20 : x
  2. Step 2: Convert to fraction form
    171,845.94/257,957.46 = 136,534.20/x
  3. Step 3: Cross multiply
    171,845.94x = 257,957.46 × 136,534.20
  4. Step 4: Simplify right side
    171,845.94x = 35,220,015,435.13
  5. Step 5: Solve for x
    x = 35,220,015,435.13/171,845.94
  6. Step 6: Final answer
    x = 204,951.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.