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Finding the Fourth Proportional to 289,094.82, 398,967.57 and 161,769.30

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Solution

The fourth proportional to 289,094.82, 398,967.57 and 161,769.30 is: 223,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,094.82 : 398,967.57 = 161,769.30 : x
  2. Step 2: Convert to fraction form
    289,094.82/398,967.57 = 161,769.30/x
  3. Step 3: Cross multiply
    289,094.82x = 398,967.57 × 161,769.30
  4. Step 4: Simplify right side
    289,094.82x = 64,540,704,521.60
  5. Step 5: Solve for x
    x = 64,540,704,521.60/289,094.82
  6. Step 6: Final answer
    x = 223,250.99

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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.