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Finding the Fourth Proportional to 306,741.25, 460,111.92 and 140,529.25

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Solution

The fourth proportional to 306,741.25, 460,111.92 and 140,529.25 is: 210,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,741.25 : 460,111.92 = 140,529.25 : x
  2. Step 2: Convert to fraction form
    306,741.25/460,111.92 = 140,529.25/x
  3. Step 3: Cross multiply
    306,741.25x = 460,111.92 × 140,529.25
  4. Step 4: Simplify right side
    306,741.25x = 64,659,183,033.66
  5. Step 5: Solve for x
    x = 64,659,183,033.66/306,741.25
  6. Step 6: Final answer
    x = 210,793.90

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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.