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Finding the Fourth Proportional to 196,511.42, 294,767.12 and 48,767.42

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Solution

The fourth proportional to 196,511.42, 294,767.12 and 48,767.42 is: 73,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,511.42 : 294,767.12 = 48,767.42 : x
  2. Step 2: Convert to fraction form
    196,511.42/294,767.12 = 48,767.42/x
  3. Step 3: Cross multiply
    196,511.42x = 294,767.12 × 48,767.42
  4. Step 4: Simplify right side
    196,511.42x = 14,375,030,591.31
  5. Step 5: Solve for x
    x = 14,375,030,591.31/196,511.42
  6. Step 6: Final answer
    x = 73,151.12

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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.