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Finding the Fourth Proportional to 196,065, 294,097.50 and 48,321

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Solution

The fourth proportional to 196,065, 294,097.50 and 48,321 is: 72,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,065 : 294,097.50 = 48,321 : x
  2. Step 2: Convert to fraction form
    196,065/294,097.50 = 48,321/x
  3. Step 3: Cross multiply
    196,065x = 294,097.50 × 48,321
  4. Step 4: Simplify right side
    196,065x = 14,211,085,297.50
  5. Step 5: Solve for x
    x = 14,211,085,297.50/196,065
  6. Step 6: Final answer
    x = 72,481.50

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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.