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Finding the Fourth Proportional to 120,808.86, 166,704.04 and 70,537.02

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Solution

The fourth proportional to 120,808.86, 166,704.04 and 70,537.02 is: 97,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,808.86 : 166,704.04 = 70,537.02 : x
  2. Step 2: Convert to fraction form
    120,808.86/166,704.04 = 70,537.02/x
  3. Step 3: Cross multiply
    120,808.86x = 166,704.04 × 70,537.02
  4. Step 4: Simplify right side
    120,808.86x = 11,758,806,203.56
  5. Step 5: Solve for x
    x = 11,758,806,203.56/120,808.86
  6. Step 6: Final answer
    x = 97,333.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.