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Finding the Fourth Proportional to 213,462.40, 320,200.08 and 73,219

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Solution

The fourth proportional to 213,462.40, 320,200.08 and 73,219 is: 109,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,462.40 : 320,200.08 = 73,219 : x
  2. Step 2: Convert to fraction form
    213,462.40/320,200.08 = 73,219/x
  3. Step 3: Cross multiply
    213,462.40x = 320,200.08 × 73,219
  4. Step 4: Simplify right side
    213,462.40x = 23,444,729,657.52
  5. Step 5: Solve for x
    x = 23,444,729,657.52/213,462.40
  6. Step 6: Final answer
    x = 109,830.72

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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.