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Finding the Fourth Proportional to 204,699.64, 307,007.11 and 54,904.29

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Solution

The fourth proportional to 204,699.64, 307,007.11 and 54,904.29 is: 82,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,699.64 : 307,007.11 = 54,904.29 : x
  2. Step 2: Convert to fraction form
    204,699.64/307,007.11 = 54,904.29/x
  3. Step 3: Cross multiply
    204,699.64x = 307,007.11 × 54,904.29
  4. Step 4: Simplify right side
    204,699.64x = 16,856,007,180.31
  5. Step 5: Solve for x
    x = 16,856,007,180.31/204,699.64
  6. Step 6: Final answer
    x = 82,345.08

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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.