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Finding the Fourth Proportional to 164,873.70, 227,453.49 and 96,859.98

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Solution

The fourth proportional to 164,873.70, 227,453.49 and 96,859.98 is: 133,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,873.70 : 227,453.49 = 96,859.98 : x
  2. Step 2: Convert to fraction form
    164,873.70/227,453.49 = 96,859.98/x
  3. Step 3: Cross multiply
    164,873.70x = 227,453.49 × 96,859.98
  4. Step 4: Simplify right side
    164,873.70x = 22,031,140,492.33
  5. Step 5: Solve for x
    x = 22,031,140,492.33/164,873.70
  6. Step 6: Final answer
    x = 133,624.35

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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.