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Finding the Fourth Proportional to 228,418.92, 342,698.45 and 102,165.44

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Solution

The fourth proportional to 228,418.92, 342,698.45 and 102,165.44 is: 153,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,418.92 : 342,698.45 = 102,165.44 : x
  2. Step 2: Convert to fraction form
    228,418.92/342,698.45 = 102,165.44/x
  3. Step 3: Cross multiply
    228,418.92x = 342,698.45 × 102,165.44
  4. Step 4: Simplify right side
    228,418.92x = 35,011,935,707.25
  5. Step 5: Solve for x
    x = 35,011,935,707.25/228,418.92
  6. Step 6: Final answer
    x = 153,279.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.