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Finding the Fourth Proportional to 230,745.31, 346,154.56 and 97,626.56

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Solution

The fourth proportional to 230,745.31, 346,154.56 and 97,626.56 is: 146,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,745.31 : 346,154.56 = 97,626.56 : x
  2. Step 2: Convert to fraction form
    230,745.31/346,154.56 = 97,626.56/x
  3. Step 3: Cross multiply
    230,745.31x = 346,154.56 × 97,626.56
  4. Step 4: Simplify right side
    230,745.31x = 33,793,879,542.43
  5. Step 5: Solve for x
    x = 33,793,879,542.43/230,745.31
  6. Step 6: Final answer
    x = 146,455.33

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1.5x scale

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.