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Finding the Fourth Proportional to 164,772.84, 227,385 and 92,174.88

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Solution

The fourth proportional to 164,772.84, 227,385 and 92,174.88 is: 127,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,772.84 : 227,385 = 92,174.88 : x
  2. Step 2: Convert to fraction form
    164,772.84/227,385 = 92,174.88/x
  3. Step 3: Cross multiply
    164,772.84x = 227,385 × 92,174.88
  4. Step 4: Simplify right side
    164,772.84x = 20,959,185,088.80
  5. Step 5: Solve for x
    x = 20,959,185,088.80/164,772.84
  6. Step 6: Final answer
    x = 127,200.48

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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.