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Finding the Fourth Proportional to 206,803.28, 310,168.01 and 55,001.22

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Solution

The fourth proportional to 206,803.28, 310,168.01 and 55,001.22 is: 82,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.28 : 310,168.01 = 55,001.22 : x
  2. Step 2: Convert to fraction form
    206,803.28/310,168.01 = 55,001.22/x
  3. Step 3: Cross multiply
    206,803.28x = 310,168.01 × 55,001.22
  4. Step 4: Simplify right side
    206,803.28x = 17,059,618,954.97
  5. Step 5: Solve for x
    x = 17,059,618,954.97/206,803.28
  6. Step 6: Final answer
    x = 82,492.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.