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Finding the Fourth Proportional to 204,872, 282,723.36 and 110,664

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Solution

The fourth proportional to 204,872, 282,723.36 and 110,664 is: 152,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,872 : 282,723.36 = 110,664 : x
  2. Step 2: Convert to fraction form
    204,872/282,723.36 = 110,664/x
  3. Step 3: Cross multiply
    204,872x = 282,723.36 × 110,664
  4. Step 4: Simplify right side
    204,872x = 31,287,297,911.04
  5. Step 5: Solve for x
    x = 31,287,297,911.04/204,872
  6. Step 6: Final answer
    x = 152,716.32

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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.