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Finding the Fourth Proportional to 164,616.96, 227,169.72 and 92,996.88

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Solution

The fourth proportional to 164,616.96, 227,169.72 and 92,996.88 is: 128,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,616.96 : 227,169.72 = 92,996.88 : x
  2. Step 2: Convert to fraction form
    164,616.96/227,169.72 = 92,996.88/x
  3. Step 3: Cross multiply
    164,616.96x = 227,169.72 × 92,996.88
  4. Step 4: Simplify right side
    164,616.96x = 21,126,075,190.47
  5. Step 5: Solve for x
    x = 21,126,075,190.47/164,616.96
  6. Step 6: Final answer
    x = 128,334.74

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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.