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Finding the Fourth Proportional to 196,009.88, 294,064.02 and 55,768.50

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Solution

The fourth proportional to 196,009.88, 294,064.02 and 55,768.50 is: 83,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,009.88 : 294,064.02 = 55,768.50 : x
  2. Step 2: Convert to fraction form
    196,009.88/294,064.02 = 55,768.50/x
  3. Step 3: Cross multiply
    196,009.88x = 294,064.02 × 55,768.50
  4. Step 4: Simplify right side
    196,009.88x = 16,399,509,299.37
  5. Step 5: Solve for x
    x = 16,399,509,299.37/196,009.88
  6. Step 6: Final answer
    x = 83,666.75

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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.