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Finding the Fourth Proportional to 196,094.57, 294,141.87 and 137,045.57

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Solution

The fourth proportional to 196,094.57, 294,141.87 and 137,045.57 is: 205,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,094.57 : 294,141.87 = 137,045.57 : x
  2. Step 2: Convert to fraction form
    196,094.57/294,141.87 = 137,045.57/x
  3. Step 3: Cross multiply
    196,094.57x = 294,141.87 × 137,045.57
  4. Step 4: Simplify right side
    196,094.57x = 40,310,838,764.31
  5. Step 5: Solve for x
    x = 40,310,838,764.31/196,094.57
  6. Step 6: Final answer
    x = 205,568.36

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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.