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Finding the Fourth Proportional to 121,098, 181,676.16 and 37,992

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Solution

The fourth proportional to 121,098, 181,676.16 and 37,992 is: 56,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,098 : 181,676.16 = 37,992 : x
  2. Step 2: Convert to fraction form
    121,098/181,676.16 = 37,992/x
  3. Step 3: Cross multiply
    121,098x = 181,676.16 × 37,992
  4. Step 4: Simplify right side
    121,098x = 6,902,240,670.72
  5. Step 5: Solve for x
    x = 6,902,240,670.72/121,098
  6. Step 6: Final answer
    x = 56,997.15

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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.