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Finding the Fourth Proportional to 275,208, 412,831.44 and 108,996

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Solution

The fourth proportional to 275,208, 412,831.44 and 108,996 is: 163,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,208 : 412,831.44 = 108,996 : x
  2. Step 2: Convert to fraction form
    275,208/412,831.44 = 108,996/x
  3. Step 3: Cross multiply
    275,208x = 412,831.44 × 108,996
  4. Step 4: Simplify right side
    275,208x = 44,996,975,634.24
  5. Step 5: Solve for x
    x = 44,996,975,634.24/275,208
  6. Step 6: Final answer
    x = 163,501.70

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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.