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Finding the Fourth Proportional to 275,210, 412,834.44 and 108,998

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Solution

The fourth proportional to 275,210, 412,834.44 and 108,998 is: 163,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,210 : 412,834.44 = 108,998 : x
  2. Step 2: Convert to fraction form
    275,210/412,834.44 = 108,998/x
  3. Step 3: Cross multiply
    275,210x = 412,834.44 × 108,998
  4. Step 4: Simplify right side
    275,210x = 44,998,128,291.12
  5. Step 5: Solve for x
    x = 44,998,128,291.12/275,210
  6. Step 6: Final answer
    x = 163,504.70

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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.