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Finding the Fourth Proportional to 201,178.92, 301,790.25 and 74,804.34

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Solution

The fourth proportional to 201,178.92, 301,790.25 and 74,804.34 is: 112,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,178.92 : 301,790.25 = 74,804.34 : x
  2. Step 2: Convert to fraction form
    201,178.92/301,790.25 = 74,804.34/x
  3. Step 3: Cross multiply
    201,178.92x = 301,790.25 × 74,804.34
  4. Step 4: Simplify right side
    201,178.92x = 22,575,220,469.69
  5. Step 5: Solve for x
    x = 22,575,220,469.69/201,178.92
  6. Step 6: Final answer
    x = 112,214.64

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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.