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Finding the Fourth Proportional to 205,530.75, 283,596.14 and 114,857.73

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Solution

The fourth proportional to 205,530.75, 283,596.14 and 114,857.73 is: 158,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,530.75 : 283,596.14 = 114,857.73 : x
  2. Step 2: Convert to fraction form
    205,530.75/283,596.14 = 114,857.73/x
  3. Step 3: Cross multiply
    205,530.75x = 283,596.14 × 114,857.73
  4. Step 4: Simplify right side
    205,530.75x = 32,573,208,302.87
  5. Step 5: Solve for x
    x = 32,573,208,302.87/205,530.75
  6. Step 6: Final answer
    x = 158,483.38

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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.