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Finding the Fourth Proportional to 146,493.51, 202,165.31 and 82,829.94

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Solution

The fourth proportional to 146,493.51, 202,165.31 and 82,829.94 is: 114,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,493.51 : 202,165.31 = 82,829.94 : x
  2. Step 2: Convert to fraction form
    146,493.51/202,165.31 = 82,829.94/x
  3. Step 3: Cross multiply
    146,493.51x = 202,165.31 × 82,829.94
  4. Step 4: Simplify right side
    146,493.51x = 16,745,340,497.38
  5. Step 5: Solve for x
    x = 16,745,340,497.38/146,493.51
  6. Step 6: Final answer
    x = 114,307.73

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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.