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Finding the Fourth Proportional to 289,138.70, 433,124.85 and 164,333.90

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Solution

The fourth proportional to 289,138.70, 433,124.85 and 164,333.90 is: 246,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,138.70 : 433,124.85 = 164,333.90 : x
  2. Step 2: Convert to fraction form
    289,138.70/433,124.85 = 164,333.90/x
  3. Step 3: Cross multiply
    289,138.70x = 433,124.85 × 164,333.90
  4. Step 4: Simplify right side
    289,138.70x = 71,177,095,787.42
  5. Step 5: Solve for x
    x = 71,177,095,787.42/289,138.70
  6. Step 6: Final answer
    x = 246,169.38

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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.