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Finding the Fourth Proportional to 289,464.53, 434,226.24 and 99,900.23

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Solution

The fourth proportional to 289,464.53, 434,226.24 and 99,900.23 is: 149,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,464.53 : 434,226.24 = 99,900.23 : x
  2. Step 2: Convert to fraction form
    289,464.53/434,226.24 = 99,900.23/x
  3. Step 3: Cross multiply
    289,464.53x = 434,226.24 × 99,900.23
  4. Step 4: Simplify right side
    289,464.53x = 43,379,299,076.90
  5. Step 5: Solve for x
    x = 43,379,299,076.90/289,464.53
  6. Step 6: Final answer
    x = 149,860.50

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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.