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Finding the Fourth Proportional to 207,153.66, 285,865.82 and 116,514.66

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Solution

The fourth proportional to 207,153.66, 285,865.82 and 116,514.66 is: 160,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,153.66 : 285,865.82 = 116,514.66 : x
  2. Step 2: Convert to fraction form
    207,153.66/285,865.82 = 116,514.66/x
  3. Step 3: Cross multiply
    207,153.66x = 285,865.82 × 116,514.66
  4. Step 4: Simplify right side
    207,153.66x = 33,307,558,822.92
  5. Step 5: Solve for x
    x = 33,307,558,822.92/207,153.66
  6. Step 6: Final answer
    x = 160,786.73

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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.