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Finding the Fourth Proportional to 158,423.70, 237,648 and 46,105.44

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Solution

The fourth proportional to 158,423.70, 237,648 and 46,105.44 is: 69,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,423.70 : 237,648 = 46,105.44 : x
  2. Step 2: Convert to fraction form
    158,423.70/237,648 = 46,105.44/x
  3. Step 3: Cross multiply
    158,423.70x = 237,648 × 46,105.44
  4. Step 4: Simplify right side
    158,423.70x = 10,956,865,605.12
  5. Step 5: Solve for x
    x = 10,956,865,605.12/158,423.70
  6. Step 6: Final answer
    x = 69,161.78

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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.