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Finding the Fourth Proportional to 204,877.91, 282,088.14 and 174,190.66

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Solution

The fourth proportional to 204,877.91, 282,088.14 and 174,190.66 is: 239,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,877.91 : 282,088.14 = 174,190.66 : x
  2. Step 2: Convert to fraction form
    204,877.91/282,088.14 = 174,190.66/x
  3. Step 3: Cross multiply
    204,877.91x = 282,088.14 × 174,190.66
  4. Step 4: Simplify right side
    204,877.91x = 49,137,117,003.38
  5. Step 5: Solve for x
    x = 49,137,117,003.38/204,877.91
  6. Step 6: Final answer
    x = 239,836.09

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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.