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Finding the Fourth Proportional to 228,803.96, 315,562.28 and 161,045.24

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Solution

The fourth proportional to 228,803.96, 315,562.28 and 161,045.24 is: 222,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,803.96 : 315,562.28 = 161,045.24 : x
  2. Step 2: Convert to fraction form
    228,803.96/315,562.28 = 161,045.24/x
  3. Step 3: Cross multiply
    228,803.96x = 315,562.28 × 161,045.24
  4. Step 4: Simplify right side
    228,803.96x = 50,819,800,734.51
  5. Step 5: Solve for x
    x = 50,819,800,734.51/228,803.96
  6. Step 6: Final answer
    x = 222,110.67

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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.