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Finding the Fourth Proportional to 289,050, 398,889 and 161,750.20

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Solution

The fourth proportional to 289,050, 398,889 and 161,750.20 is: 223,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,050 : 398,889 = 161,750.20 : x
  2. Step 2: Convert to fraction form
    289,050/398,889 = 161,750.20/x
  3. Step 3: Cross multiply
    289,050x = 398,889 × 161,750.20
  4. Step 4: Simplify right side
    289,050x = 64,520,375,527.80
  5. Step 5: Solve for x
    x = 64,520,375,527.80/289,050
  6. Step 6: Final answer
    x = 223,215.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.