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Finding the Fourth Proportional to 210,992.44, 291,162.27 and 120,377.74

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Solution

The fourth proportional to 210,992.44, 291,162.27 and 120,377.74 is: 166,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,992.44 : 291,162.27 = 120,377.74 : x
  2. Step 2: Convert to fraction form
    210,992.44/291,162.27 = 120,377.74/x
  3. Step 3: Cross multiply
    210,992.44x = 291,162.27 × 120,377.74
  4. Step 4: Simplify right side
    210,992.44x = 35,049,456,035.87
  5. Step 5: Solve for x
    x = 35,049,456,035.87/210,992.44
  6. Step 6: Final answer
    x = 166,117.12

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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.