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Finding the Fourth Proportional to 164,638.84, 227,201.88 and 96,642.64

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Solution

The fourth proportional to 164,638.84, 227,201.88 and 96,642.64 is: 133,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,638.84 : 227,201.88 = 96,642.64 : x
  2. Step 2: Convert to fraction form
    164,638.84/227,201.88 = 96,642.64/x
  3. Step 3: Cross multiply
    164,638.84x = 227,201.88 × 96,642.64
  4. Step 4: Simplify right side
    164,638.84x = 21,957,389,496.16
  5. Step 5: Solve for x
    x = 21,957,389,496.16/164,638.84
  6. Step 6: Final answer
    x = 133,367.01

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1.5x scale

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.