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Finding the Fourth Proportional to 224,394.12, 309,664.76 and 122,421.87

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Solution

The fourth proportional to 224,394.12, 309,664.76 and 122,421.87 is: 168,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,394.12 : 309,664.76 = 122,421.87 : x
  2. Step 2: Convert to fraction form
    224,394.12/309,664.76 = 122,421.87/x
  3. Step 3: Cross multiply
    224,394.12x = 309,664.76 × 122,421.87
  4. Step 4: Simplify right side
    224,394.12x = 37,909,738,380.19
  5. Step 5: Solve for x
    x = 37,909,738,380.19/224,394.12
  6. Step 6: Final answer
    x = 168,942.65

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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.