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Finding the Fourth Proportional to 115,234, 159,022.92 and 62,242

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Solution

The fourth proportional to 115,234, 159,022.92 and 62,242 is: 85,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,234 : 159,022.92 = 62,242 : x
  2. Step 2: Convert to fraction form
    115,234/159,022.92 = 62,242/x
  3. Step 3: Cross multiply
    115,234x = 159,022.92 × 62,242
  4. Step 4: Simplify right side
    115,234x = 9,897,904,586.64
  5. Step 5: Solve for x
    x = 9,897,904,586.64/115,234
  6. Step 6: Final answer
    x = 85,893.96

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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.