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Finding the Fourth Proportional to 214,628.80, 321,986.40 and 74,358.40

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Solution

The fourth proportional to 214,628.80, 321,986.40 and 74,358.40 is: 111,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,628.80 : 321,986.40 = 74,358.40 : x
  2. Step 2: Convert to fraction form
    214,628.80/321,986.40 = 74,358.40/x
  3. Step 3: Cross multiply
    214,628.80x = 321,986.40 × 74,358.40
  4. Step 4: Simplify right side
    214,628.80x = 23,942,393,525.76
  5. Step 5: Solve for x
    x = 23,942,393,525.76/214,628.80
  6. Step 6: Final answer
    x = 111,552.57

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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.