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Finding the Fourth Proportional to 228,212.24, 342,033.24 and 109,851.92

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Solution

The fourth proportional to 228,212.24, 342,033.24 and 109,851.92 is: 164,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,212.24 : 342,033.24 = 109,851.92 : x
  2. Step 2: Convert to fraction form
    228,212.24/342,033.24 = 109,851.92/x
  3. Step 3: Cross multiply
    228,212.24x = 342,033.24 × 109,851.92
  4. Step 4: Simplify right side
    228,212.24x = 37,573,008,117.82
  5. Step 5: Solve for x
    x = 37,573,008,117.82/228,212.24
  6. Step 6: Final answer
    x = 164,640.64

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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.