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Finding the Fourth Proportional to 236,284.40, 353,843.40 and 156,969.20

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Solution

The fourth proportional to 236,284.40, 353,843.40 and 156,969.20 is: 235,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,284.40 : 353,843.40 = 156,969.20 : x
  2. Step 2: Convert to fraction form
    236,284.40/353,843.40 = 156,969.20/x
  3. Step 3: Cross multiply
    236,284.40x = 353,843.40 × 156,969.20
  4. Step 4: Simplify right side
    236,284.40x = 55,542,515,423.28
  5. Step 5: Solve for x
    x = 55,542,515,423.28/236,284.40
  6. Step 6: Final answer
    x = 235,066.37

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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.