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Finding the Fourth Proportional to 164,967.44, 227,660.12 and 96,971.94

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Solution

The fourth proportional to 164,967.44, 227,660.12 and 96,971.94 is: 133,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,967.44 : 227,660.12 = 96,971.94 : x
  2. Step 2: Convert to fraction form
    164,967.44/227,660.12 = 96,971.94/x
  3. Step 3: Cross multiply
    164,967.44x = 227,660.12 × 96,971.94
  4. Step 4: Simplify right side
    164,967.44x = 22,076,643,012.17
  5. Step 5: Solve for x
    x = 22,076,643,012.17/164,967.44
  6. Step 6: Final answer
    x = 133,824.25

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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.