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Finding the Fourth Proportional to 270,539.64, 373,464.26 and 161,682.38

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Solution

The fourth proportional to 270,539.64, 373,464.26 and 161,682.38 is: 223,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,539.64 : 373,464.26 = 161,682.38 : x
  2. Step 2: Convert to fraction form
    270,539.64/373,464.26 = 161,682.38/x
  3. Step 3: Cross multiply
    270,539.64x = 373,464.26 × 161,682.38
  4. Step 4: Simplify right side
    270,539.64x = 60,382,590,401.74
  5. Step 5: Solve for x
    x = 60,382,590,401.74/270,539.64
  6. Step 6: Final answer
    x = 223,193.14

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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.