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Finding the Fourth Proportional to 224,078, 335,998.20 and 66,284.60

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Solution

The fourth proportional to 224,078, 335,998.20 and 66,284.60 is: 99,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,078 : 335,998.20 = 66,284.60 : x
  2. Step 2: Convert to fraction form
    224,078/335,998.20 = 66,284.60/x
  3. Step 3: Cross multiply
    224,078x = 335,998.20 × 66,284.60
  4. Step 4: Simplify right side
    224,078x = 22,271,506,287.72
  5. Step 5: Solve for x
    x = 22,271,506,287.72/224,078
  6. Step 6: Final answer
    x = 99,391.76

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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.