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Finding the Fourth Proportional to 200,557.44, 300,631.68 and 111,849.60

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Solution

The fourth proportional to 200,557.44, 300,631.68 and 111,849.60 is: 167,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,557.44 : 300,631.68 = 111,849.60 : x
  2. Step 2: Convert to fraction form
    200,557.44/300,631.68 = 111,849.60/x
  3. Step 3: Cross multiply
    200,557.44x = 300,631.68 × 111,849.60
  4. Step 4: Simplify right side
    200,557.44x = 33,625,533,155.33
  5. Step 5: Solve for x
    x = 33,625,533,155.33/200,557.44
  6. Step 6: Final answer
    x = 167,660.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.