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Finding the Fourth Proportional to 275,184, 412,795.44 and 108,972

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Solution

The fourth proportional to 275,184, 412,795.44 and 108,972 is: 163,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,184 : 412,795.44 = 108,972 : x
  2. Step 2: Convert to fraction form
    275,184/412,795.44 = 108,972/x
  3. Step 3: Cross multiply
    275,184x = 412,795.44 × 108,972
  4. Step 4: Simplify right side
    275,184x = 44,983,144,687.68
  5. Step 5: Solve for x
    x = 44,983,144,687.68/275,184
  6. Step 6: Final answer
    x = 163,465.70

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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.