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Finding the Fourth Proportional to 201,516.56, 301,610.18 and 111,420.66

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Solution

The fourth proportional to 201,516.56, 301,610.18 and 111,420.66 is: 166,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,516.56 : 301,610.18 = 111,420.66 : x
  2. Step 2: Convert to fraction form
    201,516.56/301,610.18 = 111,420.66/x
  3. Step 3: Cross multiply
    201,516.56x = 301,610.18 × 111,420.66
  4. Step 4: Simplify right side
    201,516.56x = 33,605,606,727.91
  5. Step 5: Solve for x
    x = 33,605,606,727.91/201,516.56
  6. Step 6: Final answer
    x = 166,763.50

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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.