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Finding the Fourth Proportional to 205,467.98, 283,509.72 and 114,794.96

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Solution

The fourth proportional to 205,467.98, 283,509.72 and 114,794.96 is: 158,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,467.98 : 283,509.72 = 114,794.96 : x
  2. Step 2: Convert to fraction form
    205,467.98/283,509.72 = 114,794.96/x
  3. Step 3: Cross multiply
    205,467.98x = 283,509.72 × 114,794.96
  4. Step 4: Simplify right side
    205,467.98x = 32,545,485,549.46
  5. Step 5: Solve for x
    x = 32,545,485,549.46/205,467.98
  6. Step 6: Final answer
    x = 158,396.88

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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.