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Finding the Fourth Proportional to 224,245.74, 309,455.16 and 122,272

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Solution

The fourth proportional to 224,245.74, 309,455.16 and 122,272 is: 168,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,245.74 : 309,455.16 = 122,272 : x
  2. Step 2: Convert to fraction form
    224,245.74/309,455.16 = 122,272/x
  3. Step 3: Cross multiply
    224,245.74x = 309,455.16 × 122,272
  4. Step 4: Simplify right side
    224,245.74x = 37,837,701,323.52
  5. Step 5: Solve for x
    x = 37,837,701,323.52/224,245.74
  6. Step 6: Final answer
    x = 168,733.20

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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.