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Finding the Fourth Proportional to 164,234.36, 226,644 and 88,782.86

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Solution

The fourth proportional to 164,234.36, 226,644 and 88,782.86 is: 122,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,234.36 : 226,644 = 88,782.86 : x
  2. Step 2: Convert to fraction form
    164,234.36/226,644 = 88,782.86/x
  3. Step 3: Cross multiply
    164,234.36x = 226,644 × 88,782.86
  4. Step 4: Simplify right side
    164,234.36x = 20,122,102,521.84
  5. Step 5: Solve for x
    x = 20,122,102,521.84/164,234.36
  6. Step 6: Final answer
    x = 122,520.66

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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.