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Finding the Fourth Proportional to 307,257.56, 460,886.34 and 96,911.90

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Solution

The fourth proportional to 307,257.56, 460,886.34 and 96,911.90 is: 145,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,257.56 : 460,886.34 = 96,911.90 : x
  2. Step 2: Convert to fraction form
    307,257.56/460,886.34 = 96,911.90/x
  3. Step 3: Cross multiply
    307,257.56x = 460,886.34 × 96,911.90
  4. Step 4: Simplify right side
    307,257.56x = 44,665,370,893.45
  5. Step 5: Solve for x
    x = 44,665,370,893.45/307,257.56
  6. Step 6: Final answer
    x = 145,367.85

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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.