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Finding the Fourth Proportional to 97,992.88, 135,206.52 and 62,170

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Solution

The fourth proportional to 97,992.88, 135,206.52 and 62,170 is: 85,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,992.88 : 135,206.52 = 62,170 : x
  2. Step 2: Convert to fraction form
    97,992.88/135,206.52 = 62,170/x
  3. Step 3: Cross multiply
    97,992.88x = 135,206.52 × 62,170
  4. Step 4: Simplify right side
    97,992.88x = 8,405,789,348.40
  5. Step 5: Solve for x
    x = 8,405,789,348.40/97,992.88
  6. Step 6: Final answer
    x = 85,779.59

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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.