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Finding the Fourth Proportional to 285,552.02, 394,103.12 and 164,669.24

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Solution

The fourth proportional to 285,552.02, 394,103.12 and 164,669.24 is: 227,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,552.02 : 394,103.12 = 164,669.24 : x
  2. Step 2: Convert to fraction form
    285,552.02/394,103.12 = 164,669.24/x
  3. Step 3: Cross multiply
    285,552.02x = 394,103.12 × 164,669.24
  4. Step 4: Simplify right side
    285,552.02x = 64,896,658,458.17
  5. Step 5: Solve for x
    x = 64,896,658,458.17/285,552.02
  6. Step 6: Final answer
    x = 227,267.38

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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.