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Finding the Fourth Proportional to 164,311.32, 226,748.94 and 88,859.64

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Solution

The fourth proportional to 164,311.32, 226,748.94 and 88,859.64 is: 122,625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,311.32 : 226,748.94 = 88,859.64 : x
  2. Step 2: Convert to fraction form
    164,311.32/226,748.94 = 88,859.64/x
  3. Step 3: Cross multiply
    164,311.32x = 226,748.94 × 88,859.64
  4. Step 4: Simplify right side
    164,311.32x = 20,148,829,178.78
  5. Step 5: Solve for x
    x = 20,148,829,178.78/164,311.32
  6. Step 6: Final answer
    x = 122,625.93

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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.