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Finding the Fourth Proportional to 180,497, 270,745.50 and 49,169

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Solution

The fourth proportional to 180,497, 270,745.50 and 49,169 is: 73,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,497 : 270,745.50 = 49,169 : x
  2. Step 2: Convert to fraction form
    180,497/270,745.50 = 49,169/x
  3. Step 3: Cross multiply
    180,497x = 270,745.50 × 49,169
  4. Step 4: Simplify right side
    180,497x = 13,312,285,489.50
  5. Step 5: Solve for x
    x = 13,312,285,489.50/180,497
  6. Step 6: Final answer
    x = 73,753.50

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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.