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Finding the Fourth Proportional to 213,477.40, 320,222.58 and 73,234

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Solution

The fourth proportional to 213,477.40, 320,222.58 and 73,234 is: 109,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,477.40 : 320,222.58 = 73,234 : x
  2. Step 2: Convert to fraction form
    213,477.40/320,222.58 = 73,234/x
  3. Step 3: Cross multiply
    213,477.40x = 320,222.58 × 73,234
  4. Step 4: Simplify right side
    213,477.40x = 23,451,180,423.72
  5. Step 5: Solve for x
    x = 23,451,180,423.72/213,477.40
  6. Step 6: Final answer
    x = 109,853.22

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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.