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Finding the Fourth Proportional to 106,503.65, 146,967.44 and 59,943.30

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Solution

The fourth proportional to 106,503.65, 146,967.44 and 59,943.30 is: 82,717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,503.65 : 146,967.44 = 59,943.30 : x
  2. Step 2: Convert to fraction form
    106,503.65/146,967.44 = 59,943.30/x
  3. Step 3: Cross multiply
    106,503.65x = 146,967.44 × 59,943.30
  4. Step 4: Simplify right side
    106,503.65x = 8,809,713,046.44
  5. Step 5: Solve for x
    x = 8,809,713,046.44/106,503.65
  6. Step 6: Final answer
    x = 82,717.48

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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.