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Finding the Fourth Proportional to 201,014.02, 301,564.77 and 60,769

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Solution

The fourth proportional to 201,014.02, 301,564.77 and 60,769 is: 91,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,014.02 : 301,564.77 = 60,769 : x
  2. Step 2: Convert to fraction form
    201,014.02/301,564.77 = 60,769/x
  3. Step 3: Cross multiply
    201,014.02x = 301,564.77 × 60,769
  4. Step 4: Simplify right side
    201,014.02x = 18,325,789,508.13
  5. Step 5: Solve for x
    x = 18,325,789,508.13/201,014.02
  6. Step 6: Final answer
    x = 91,166.72

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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.