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Finding the Fourth Proportional to 204,804.44, 282,631.44 and 114,166.16

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Solution

The fourth proportional to 204,804.44, 282,631.44 and 114,166.16 is: 157,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,804.44 : 282,631.44 = 114,166.16 : x
  2. Step 2: Convert to fraction form
    204,804.44/282,631.44 = 114,166.16/x
  3. Step 3: Cross multiply
    204,804.44x = 282,631.44 × 114,166.16
  4. Step 4: Simplify right side
    204,804.44x = 32,266,946,200.07
  5. Step 5: Solve for x
    x = 32,266,946,200.07/204,804.44
  6. Step 6: Final answer
    x = 157,550.03

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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.