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Finding the Fourth Proportional to 216,192.36, 322,114.09 and 204,120.12

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Solution

The fourth proportional to 216,192.36, 322,114.09 and 204,120.12 is: 304,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,192.36 : 322,114.09 = 204,120.12 : x
  2. Step 2: Convert to fraction form
    216,192.36/322,114.09 = 204,120.12/x
  3. Step 3: Cross multiply
    216,192.36x = 322,114.09 × 204,120.12
  4. Step 4: Simplify right side
    216,192.36x = 65,749,966,704.49
  5. Step 5: Solve for x
    x = 65,749,966,704.49/216,192.36
  6. Step 6: Final answer
    x = 304,127.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.