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Finding the Fourth Proportional to 146,943.72, 202,783.14 and 86,517

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Solution

The fourth proportional to 146,943.72, 202,783.14 and 86,517 is: 119,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,943.72 : 202,783.14 = 86,517 : x
  2. Step 2: Convert to fraction form
    146,943.72/202,783.14 = 86,517/x
  3. Step 3: Cross multiply
    146,943.72x = 202,783.14 × 86,517
  4. Step 4: Simplify right side
    146,943.72x = 17,544,188,923.38
  5. Step 5: Solve for x
    x = 17,544,188,923.38/146,943.72
  6. Step 6: Final answer
    x = 119,393.93

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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.