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Finding the Fourth Proportional to 222,564.42, 333,706.11 and 122,794.14

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Solution

The fourth proportional to 222,564.42, 333,706.11 and 122,794.14 is: 184,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,564.42 : 333,706.11 = 122,794.14 : x
  2. Step 2: Convert to fraction form
    222,564.42/333,706.11 = 122,794.14/x
  3. Step 3: Cross multiply
    222,564.42x = 333,706.11 × 122,794.14
  4. Step 4: Simplify right side
    222,564.42x = 40,977,154,790.20
  5. Step 5: Solve for x
    x = 40,977,154,790.20/222,564.42
  6. Step 6: Final answer
    x = 184,113.68

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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.