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Finding the Fourth Proportional to 205,291.62, 283,240.53 and 119,234.01

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Solution

The fourth proportional to 205,291.62, 283,240.53 and 119,234.01 is: 164,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,291.62 : 283,240.53 = 119,234.01 : x
  2. Step 2: Convert to fraction form
    205,291.62/283,240.53 = 119,234.01/x
  3. Step 3: Cross multiply
    205,291.62x = 283,240.53 × 119,234.01
  4. Step 4: Simplify right side
    205,291.62x = 33,771,904,186.43
  5. Step 5: Solve for x
    x = 33,771,904,186.43/205,291.62
  6. Step 6: Final answer
    x = 164,506.98

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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.