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Finding the Fourth Proportional to 204,697.25, 282,484.04 and 119,816.14

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Solution

The fourth proportional to 204,697.25, 282,484.04 and 119,816.14 is: 165,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,697.25 : 282,484.04 = 119,816.14 : x
  2. Step 2: Convert to fraction form
    204,697.25/282,484.04 = 119,816.14/x
  3. Step 3: Cross multiply
    204,697.25x = 282,484.04 × 119,816.14
  4. Step 4: Simplify right side
    204,697.25x = 33,846,147,284.41
  5. Step 5: Solve for x
    x = 33,846,147,284.41/204,697.25
  6. Step 6: Final answer
    x = 165,347.35

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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.