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Finding the Fourth Proportional to 196,328.57, 294,455.57 and 54,138.69

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Solution

The fourth proportional to 196,328.57, 294,455.57 and 54,138.69 is: 81,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,328.57 : 294,455.57 = 54,138.69 : x
  2. Step 2: Convert to fraction form
    196,328.57/294,455.57 = 54,138.69/x
  3. Step 3: Cross multiply
    196,328.57x = 294,455.57 × 54,138.69
  4. Step 4: Simplify right side
    196,328.57x = 15,941,438,552.31
  5. Step 5: Solve for x
    x = 15,941,438,552.31/196,328.57
  6. Step 6: Final answer
    x = 81,197.75

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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.