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Finding the Fourth Proportional to 275,217.08, 412,866.72 and 97,709.22

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Solution

The fourth proportional to 275,217.08, 412,866.72 and 97,709.22 is: 146,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,217.08 : 412,866.72 = 97,709.22 : x
  2. Step 2: Convert to fraction form
    275,217.08/412,866.72 = 97,709.22/x
  3. Step 3: Cross multiply
    275,217.08x = 412,866.72 × 97,709.22
  4. Step 4: Simplify right side
    275,217.08x = 40,340,885,175.16
  5. Step 5: Solve for x
    x = 40,340,885,175.16/275,217.08
  6. Step 6: Final answer
    x = 146,578.42

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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.