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Finding the Fourth Proportional to 196,693.60, 294,936.72 and 85,756

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Solution

The fourth proportional to 196,693.60, 294,936.72 and 85,756 is: 128,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,693.60 : 294,936.72 = 85,756 : x
  2. Step 2: Convert to fraction form
    196,693.60/294,936.72 = 85,756/x
  3. Step 3: Cross multiply
    196,693.60x = 294,936.72 × 85,756
  4. Step 4: Simplify right side
    196,693.60x = 25,292,593,360.32
  5. Step 5: Solve for x
    x = 25,292,593,360.32/196,693.60
  6. Step 6: Final answer
    x = 128,588.80

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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.