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Finding the Fourth Proportional to 144,904.44, 199,963.98 and 84,488.44

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Solution

The fourth proportional to 144,904.44, 199,963.98 and 84,488.44 is: 116,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,904.44 : 199,963.98 = 84,488.44 : x
  2. Step 2: Convert to fraction form
    144,904.44/199,963.98 = 84,488.44/x
  3. Step 3: Cross multiply
    144,904.44x = 199,963.98 × 84,488.44
  4. Step 4: Simplify right side
    144,904.44x = 16,894,644,726.39
  5. Step 5: Solve for x
    x = 16,894,644,726.39/144,904.44
  6. Step 6: Final answer
    x = 116,591.63

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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.