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Finding the Fourth Proportional to 206,599.76, 309,921.24 and 73,492.28

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Solution

The fourth proportional to 206,599.76, 309,921.24 and 73,492.28 is: 110,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,599.76 : 309,921.24 = 73,492.28 : x
  2. Step 2: Convert to fraction form
    206,599.76/309,921.24 = 73,492.28/x
  3. Step 3: Cross multiply
    206,599.76x = 309,921.24 × 73,492.28
  4. Step 4: Simplify right side
    206,599.76x = 22,776,818,548.03
  5. Step 5: Solve for x
    x = 22,776,818,548.03/206,599.76
  6. Step 6: Final answer
    x = 110,246.10

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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.