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Finding the Fourth Proportional to 196,189.88, 294,287.58 and 55,948.50

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Solution

The fourth proportional to 196,189.88, 294,287.58 and 55,948.50 is: 83,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,189.88 : 294,287.58 = 55,948.50 : x
  2. Step 2: Convert to fraction form
    196,189.88/294,287.58 = 55,948.50/x
  3. Step 3: Cross multiply
    196,189.88x = 294,287.58 × 55,948.50
  4. Step 4: Simplify right side
    196,189.88x = 16,464,948,669.63
  5. Step 5: Solve for x
    x = 16,464,948,669.63/196,189.88
  6. Step 6: Final answer
    x = 83,923.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.