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Finding the Fourth Proportional to 164,528.16, 227,049.28 and 89,076.80

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Solution

The fourth proportional to 164,528.16, 227,049.28 and 89,076.80 is: 122,926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,528.16 : 227,049.28 = 89,076.80 : x
  2. Step 2: Convert to fraction form
    164,528.16/227,049.28 = 89,076.80/x
  3. Step 3: Cross multiply
    164,528.16x = 227,049.28 × 89,076.80
  4. Step 4: Simplify right side
    164,528.16x = 20,224,823,304.70
  5. Step 5: Solve for x
    x = 20,224,823,304.70/164,528.16
  6. Step 6: Final answer
    x = 122,926.21

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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.