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Finding the Fourth Proportional to 543,143.40, 814,711.05 and 164,063.40

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Solution

The fourth proportional to 543,143.40, 814,711.05 and 164,063.40 is: 246,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,143.40 : 814,711.05 = 164,063.40 : x
  2. Step 2: Convert to fraction form
    543,143.40/814,711.05 = 164,063.40/x
  3. Step 3: Cross multiply
    543,143.40x = 814,711.05 × 164,063.40
  4. Step 4: Simplify right side
    543,143.40x = 133,664,264,880.57
  5. Step 5: Solve for x
    x = 133,664,264,880.57/543,143.40
  6. Step 6: Final answer
    x = 246,093.88

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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.