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Finding the Fourth Proportional to 205,114.92, 283,072.79 and 114,488.57

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Solution

The fourth proportional to 205,114.92, 283,072.79 and 114,488.57 is: 158,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,114.92 : 283,072.79 = 114,488.57 : x
  2. Step 2: Convert to fraction form
    205,114.92/283,072.79 = 114,488.57/x
  3. Step 3: Cross multiply
    205,114.92x = 283,072.79 × 114,488.57
  4. Step 4: Simplify right side
    205,114.92x = 32,408,599,926.91
  5. Step 5: Solve for x
    x = 32,408,599,926.91/205,114.92
  6. Step 6: Final answer
    x = 158,002.16

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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.