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Finding the Fourth Proportional to 196,368.94, 294,531.35 and 54,234.43

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Solution

The fourth proportional to 196,368.94, 294,531.35 and 54,234.43 is: 81,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,368.94 : 294,531.35 = 54,234.43 : x
  2. Step 2: Convert to fraction form
    196,368.94/294,531.35 = 54,234.43/x
  3. Step 3: Cross multiply
    196,368.94x = 294,531.35 × 54,234.43
  4. Step 4: Simplify right side
    196,368.94x = 15,973,738,411.72
  5. Step 5: Solve for x
    x = 15,973,738,411.72/196,368.94
  6. Step 6: Final answer
    x = 81,345.54

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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.