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Finding the Fourth Proportional to 298,701.77, 412,208.26 and 164,565.77

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Solution

The fourth proportional to 298,701.77, 412,208.26 and 164,565.77 is: 227,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,701.77 : 412,208.26 = 164,565.77 : x
  2. Step 2: Convert to fraction form
    298,701.77/412,208.26 = 164,565.77/x
  3. Step 3: Cross multiply
    298,701.77x = 412,208.26 × 164,565.77
  4. Step 4: Simplify right side
    298,701.77x = 67,835,367,234.80
  5. Step 5: Solve for x
    x = 67,835,367,234.80/298,701.77
  6. Step 6: Final answer
    x = 227,100.66

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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.