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Finding the Fourth Proportional to 270,302.00, 405,059.33 and 129,896.60

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Solution

The fourth proportional to 270,302.00, 405,059.33 and 129,896.60 is: 194,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,302.00 : 405,059.33 = 129,896.60 : x
  2. Step 2: Convert to fraction form
    270,302.00/405,059.33 = 129,896.60/x
  3. Step 3: Cross multiply
    270,302.00x = 405,059.33 × 129,896.60
  4. Step 4: Simplify right side
    270,302.00x = 52,615,828,064.72
  5. Step 5: Solve for x
    x = 52,615,828,064.72/270,302.00
  6. Step 6: Final answer
    x = 194,655.71

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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.