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Finding the Fourth Proportional to 355,843.78, 533,742.63 and 134,222.02

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Solution

The fourth proportional to 355,843.78, 533,742.63 and 134,222.02 is: 201,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,843.78 : 533,742.63 = 134,222.02 : x
  2. Step 2: Convert to fraction form
    355,843.78/533,742.63 = 134,222.02/x
  3. Step 3: Cross multiply
    355,843.78x = 533,742.63 × 134,222.02
  4. Step 4: Simplify right side
    355,843.78x = 71,640,013,958.71
  5. Step 5: Solve for x
    x = 71,640,013,958.71/355,843.78
  6. Step 6: Final answer
    x = 201,324.34

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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.