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Finding the Fourth Proportional to 164,955.44, 227,624.64 and 96,974.64

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Solution

The fourth proportional to 164,955.44, 227,624.64 and 96,974.64 is: 133,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,955.44 : 227,624.64 = 96,974.64 : x
  2. Step 2: Convert to fraction form
    164,955.44/227,624.64 = 96,974.64/x
  3. Step 3: Cross multiply
    164,955.44x = 227,624.64 × 96,974.64
  4. Step 4: Simplify right side
    164,955.44x = 22,073,817,519.13
  5. Step 5: Solve for x
    x = 22,073,817,519.13/164,955.44
  6. Step 6: Final answer
    x = 133,816.85

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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.