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Finding the Fourth Proportional to 266,717.88, 368,076.81 and 164,813.24

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Solution

The fourth proportional to 266,717.88, 368,076.81 and 164,813.24 is: 227,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,717.88 : 368,076.81 = 164,813.24 : x
  2. Step 2: Convert to fraction form
    266,717.88/368,076.81 = 164,813.24/x
  3. Step 3: Cross multiply
    266,717.88x = 368,076.81 × 164,813.24
  4. Step 4: Simplify right side
    266,717.88x = 60,663,929,784.58
  5. Step 5: Solve for x
    x = 60,663,929,784.58/266,717.88
  6. Step 6: Final answer
    x = 227,446.06

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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.