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Finding the Fourth Proportional to 224,556.16, 309,885.60 and 123,952

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Solution

The fourth proportional to 224,556.16, 309,885.60 and 123,952 is: 171,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,556.16 : 309,885.60 = 123,952 : x
  2. Step 2: Convert to fraction form
    224,556.16/309,885.60 = 123,952/x
  3. Step 3: Cross multiply
    224,556.16x = 309,885.60 × 123,952
  4. Step 4: Simplify right side
    224,556.16x = 38,410,939,891.20
  5. Step 5: Solve for x
    x = 38,410,939,891.20/224,556.16
  6. Step 6: Final answer
    x = 171,052.71

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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.