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Finding the Fourth Proportional to 144,794.70, 199,442.79 and 102,279.42

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Solution

The fourth proportional to 144,794.70, 199,442.79 and 102,279.42 is: 140,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,794.70 : 199,442.79 = 102,279.42 : x
  2. Step 2: Convert to fraction form
    144,794.70/199,442.79 = 102,279.42/x
  3. Step 3: Cross multiply
    144,794.70x = 199,442.79 × 102,279.42
  4. Step 4: Simplify right side
    144,794.70x = 20,398,892,884.38
  5. Step 5: Solve for x
    x = 20,398,892,884.38/144,794.70
  6. Step 6: Final answer
    x = 140,881.49

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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.