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Finding the Fourth Proportional to 233,049.94, 321,662.01 and 164,996.17

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Solution

The fourth proportional to 233,049.94, 321,662.01 and 164,996.17 is: 227,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,049.94 : 321,662.01 = 164,996.17 : x
  2. Step 2: Convert to fraction form
    233,049.94/321,662.01 = 164,996.17/x
  3. Step 3: Cross multiply
    233,049.94x = 321,662.01 × 164,996.17
  4. Step 4: Simplify right side
    233,049.94x = 53,072,999,684.50
  5. Step 5: Solve for x
    x = 53,072,999,684.50/233,049.94
  6. Step 6: Final answer
    x = 227,732.30

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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.