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Finding the Fourth Proportional to 307,255.56, 460,883.34 and 96,909.90

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Solution

The fourth proportional to 307,255.56, 460,883.34 and 96,909.90 is: 145,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,255.56 : 460,883.34 = 96,909.90 : x
  2. Step 2: Convert to fraction form
    307,255.56/460,883.34 = 96,909.90/x
  3. Step 3: Cross multiply
    307,255.56x = 460,883.34 × 96,909.90
  4. Step 4: Simplify right side
    307,255.56x = 44,664,158,391.07
  5. Step 5: Solve for x
    x = 44,664,158,391.07/307,255.56
  6. Step 6: Final answer
    x = 145,364.85

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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.