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Finding the Fourth Proportional to 164,716.36, 227,056.98 and 100,935.88

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Solution

The fourth proportional to 164,716.36, 227,056.98 and 100,935.88 is: 139,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,716.36 : 227,056.98 = 100,935.88 : x
  2. Step 2: Convert to fraction form
    164,716.36/227,056.98 = 100,935.88/x
  3. Step 3: Cross multiply
    164,716.36x = 227,056.98 × 100,935.88
  4. Step 4: Simplify right side
    164,716.36x = 22,918,196,086.44
  5. Step 5: Solve for x
    x = 22,918,196,086.44/164,716.36
  6. Step 6: Final answer
    x = 139,137.34

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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.