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Finding the Fourth Proportional to 205,653.73, 283,737.57 and 114,997.45

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Solution

The fourth proportional to 205,653.73, 283,737.57 and 114,997.45 is: 158,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,653.73 : 283,737.57 = 114,997.45 : x
  2. Step 2: Convert to fraction form
    205,653.73/283,737.57 = 114,997.45/x
  3. Step 3: Cross multiply
    205,653.73x = 283,737.57 × 114,997.45
  4. Step 4: Simplify right side
    205,653.73x = 32,629,097,019.20
  5. Step 5: Solve for x
    x = 32,629,097,019.20/205,653.73
  6. Step 6: Final answer
    x = 158,660.37

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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.