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Finding the Fourth Proportional to 275,106.92, 412,722.34 and 97,613.64

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Solution

The fourth proportional to 275,106.92, 412,722.34 and 97,613.64 is: 146,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,106.92 : 412,722.34 = 97,613.64 : x
  2. Step 2: Convert to fraction form
    275,106.92/412,722.34 = 97,613.64/x
  3. Step 3: Cross multiply
    275,106.92x = 412,722.34 × 97,613.64
  4. Step 4: Simplify right side
    275,106.92x = 40,287,329,916.72
  5. Step 5: Solve for x
    x = 40,287,329,916.72/275,106.92
  6. Step 6: Final answer
    x = 146,442.44

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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.