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Finding the Fourth Proportional to 119,287.16, 164,617.44 and 64,839.56

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Solution

The fourth proportional to 119,287.16, 164,617.44 and 64,839.56 is: 89,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,287.16 : 164,617.44 = 64,839.56 : x
  2. Step 2: Convert to fraction form
    119,287.16/164,617.44 = 64,839.56/x
  3. Step 3: Cross multiply
    119,287.16x = 164,617.44 × 64,839.56
  4. Step 4: Simplify right side
    119,287.16x = 10,673,722,883.01
  5. Step 5: Solve for x
    x = 10,673,722,883.01/119,287.16
  6. Step 6: Final answer
    x = 89,479.23

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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.