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Finding the Fourth Proportional to 289,682.37, 434,440.62 and 100,093.14

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Solution

The fourth proportional to 289,682.37, 434,440.62 and 100,093.14 is: 150,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,682.37 : 434,440.62 = 100,093.14 : x
  2. Step 2: Convert to fraction form
    289,682.37/434,440.62 = 100,093.14/x
  3. Step 3: Cross multiply
    289,682.37x = 434,440.62 × 100,093.14
  4. Step 4: Simplify right side
    289,682.37x = 43,484,525,799.35
  5. Step 5: Solve for x
    x = 43,484,525,799.35/289,682.37
  6. Step 6: Final answer
    x = 150,111.05

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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.