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Finding the Fourth Proportional to 289,073.49, 433,361.06 and 111,704.96

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Solution

The fourth proportional to 289,073.49, 433,361.06 and 111,704.96 is: 167,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,073.49 : 433,361.06 = 111,704.96 : x
  2. Step 2: Convert to fraction form
    289,073.49/433,361.06 = 111,704.96/x
  3. Step 3: Cross multiply
    289,073.49x = 433,361.06 × 111,704.96
  4. Step 4: Simplify right side
    289,073.49x = 48,408,579,872.86
  5. Step 5: Solve for x
    x = 48,408,579,872.86/289,073.49
  6. Step 6: Final answer
    x = 167,461.15

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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.