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Finding the Fourth Proportional to 210,658.92, 315,924.12 and 110,764.92

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Solution

The fourth proportional to 210,658.92, 315,924.12 and 110,764.92 is: 166,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,658.92 : 315,924.12 = 110,764.92 : x
  2. Step 2: Convert to fraction form
    210,658.92/315,924.12 = 110,764.92/x
  3. Step 3: Cross multiply
    210,658.92x = 315,924.12 × 110,764.92
  4. Step 4: Simplify right side
    210,658.92x = 34,993,309,877.87
  5. Step 5: Solve for x
    x = 34,993,309,877.87/210,658.92
  6. Step 6: Final answer
    x = 166,113.59

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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.