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Finding the Fourth Proportional to 205,235.38, 283,222.13 and 114,592.89

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Solution

The fourth proportional to 205,235.38, 283,222.13 and 114,592.89 is: 158,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,235.38 : 283,222.13 = 114,592.89 : x
  2. Step 2: Convert to fraction form
    205,235.38/283,222.13 = 114,592.89/x
  3. Step 3: Cross multiply
    205,235.38x = 283,222.13 × 114,592.89
  4. Step 4: Simplify right side
    205,235.38x = 32,455,242,388.66
  5. Step 5: Solve for x
    x = 32,455,242,388.66/205,235.38
  6. Step 6: Final answer
    x = 158,136.68

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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.