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Finding the Fourth Proportional to 230,984.28, 346,509.24 and 71,073.48

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Solution

The fourth proportional to 230,984.28, 346,509.24 and 71,073.48 is: 106,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,984.28 : 346,509.24 = 71,073.48 : x
  2. Step 2: Convert to fraction form
    230,984.28/346,509.24 = 71,073.48/x
  3. Step 3: Cross multiply
    230,984.28x = 346,509.24 × 71,073.48
  4. Step 4: Simplify right side
    230,984.28x = 24,627,617,538.96
  5. Step 5: Solve for x
    x = 24,627,617,538.96/230,984.28
  6. Step 6: Final answer
    x = 106,620.32

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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.