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Finding the Fourth Proportional to 200,174.19, 300,068.37 and 73,745.31

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Solution

The fourth proportional to 200,174.19, 300,068.37 and 73,745.31 is: 110,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,174.19 : 300,068.37 = 73,745.31 : x
  2. Step 2: Convert to fraction form
    200,174.19/300,068.37 = 73,745.31/x
  3. Step 3: Cross multiply
    200,174.19x = 300,068.37 × 73,745.31
  4. Step 4: Simplify right side
    200,174.19x = 22,128,634,966.84
  5. Step 5: Solve for x
    x = 22,128,634,966.84/200,174.19
  6. Step 6: Final answer
    x = 110,546.89

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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.