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Finding the Fourth Proportional to 361,806.30, 542,735.37 and 95,564.16

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Solution

The fourth proportional to 361,806.30, 542,735.37 and 95,564.16 is: 143,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,806.30 : 542,735.37 = 95,564.16 : x
  2. Step 2: Convert to fraction form
    361,806.30/542,735.37 = 95,564.16/x
  3. Step 3: Cross multiply
    361,806.30x = 542,735.37 × 95,564.16
  4. Step 4: Simplify right side
    361,806.30x = 51,866,049,736.34
  5. Step 5: Solve for x
    x = 51,866,049,736.34/361,806.30
  6. Step 6: Final answer
    x = 143,353.09

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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.