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Finding the Fourth Proportional to 289,635.08, 434,346.06 and 100,047.20

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Solution

The fourth proportional to 289,635.08, 434,346.06 and 100,047.20 is: 150,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,635.08 : 434,346.06 = 100,047.20 : x
  2. Step 2: Convert to fraction form
    289,635.08/434,346.06 = 100,047.20/x
  3. Step 3: Cross multiply
    289,635.08x = 434,346.06 × 100,047.20
  4. Step 4: Simplify right side
    289,635.08x = 43,455,107,134.03
  5. Step 5: Solve for x
    x = 43,455,107,134.03/289,635.08
  6. Step 6: Final answer
    x = 150,033.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.