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Finding the Fourth Proportional to 355,229.09, 533,053.80 and 130,747.16

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Solution

The fourth proportional to 355,229.09, 533,053.80 and 130,747.16 is: 196,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,229.09 : 533,053.80 = 130,747.16 : x
  2. Step 2: Convert to fraction form
    355,229.09/533,053.80 = 130,747.16/x
  3. Step 3: Cross multiply
    355,229.09x = 533,053.80 × 130,747.16
  4. Step 4: Simplify right side
    355,229.09x = 69,695,270,477.21
  5. Step 5: Solve for x
    x = 69,695,270,477.21/355,229.09
  6. Step 6: Final answer
    x = 196,198.09

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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.