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Finding the Fourth Proportional to 312,069.74, 467,823.61 and 112,249.67

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Solution

The fourth proportional to 312,069.74, 467,823.61 and 112,249.67 is: 168,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,069.74 : 467,823.61 = 112,249.67 : x
  2. Step 2: Convert to fraction form
    312,069.74/467,823.61 = 112,249.67/x
  3. Step 3: Cross multiply
    312,069.74x = 467,823.61 × 112,249.67
  4. Step 4: Simplify right side
    312,069.74x = 52,513,045,840.71
  5. Step 5: Solve for x
    x = 52,513,045,840.71/312,069.74
  6. Step 6: Final answer
    x = 168,273.43

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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.