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Finding the Fourth Proportional to 206,558.66, 309,744.53 and 73,442.46

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Solution

The fourth proportional to 206,558.66, 309,744.53 and 73,442.46 is: 110,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,558.66 : 309,744.53 = 73,442.46 : x
  2. Step 2: Convert to fraction form
    206,558.66/309,744.53 = 73,442.46/x
  3. Step 3: Cross multiply
    206,558.66x = 309,744.53 × 73,442.46
  4. Step 4: Simplify right side
    206,558.66x = 22,748,399,887.53
  5. Step 5: Solve for x
    x = 22,748,399,887.53/206,558.66
  6. Step 6: Final answer
    x = 110,130.46

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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.