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Finding the Fourth Proportional to 228,410.02, 342,418.02 and 109,918.36

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Solution

The fourth proportional to 228,410.02, 342,418.02 and 109,918.36 is: 164,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,410.02 : 342,418.02 = 109,918.36 : x
  2. Step 2: Convert to fraction form
    228,410.02/342,418.02 = 109,918.36/x
  3. Step 3: Cross multiply
    228,410.02x = 342,418.02 × 109,918.36
  4. Step 4: Simplify right side
    228,410.02x = 37,638,027,192.85
  5. Step 5: Solve for x
    x = 37,638,027,192.85/228,410.02
  6. Step 6: Final answer
    x = 164,782.73

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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.