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Finding the Fourth Proportional to 306,758.33, 460,162.10 and 107,074.29

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Solution

The fourth proportional to 306,758.33, 460,162.10 and 107,074.29 is: 160,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,758.33 : 460,162.10 = 107,074.29 : x
  2. Step 2: Convert to fraction form
    306,758.33/460,162.10 = 107,074.29/x
  3. Step 3: Cross multiply
    306,758.33x = 460,162.10 × 107,074.29
  4. Step 4: Simplify right side
    306,758.33x = 49,271,530,142.41
  5. Step 5: Solve for x
    x = 49,271,530,142.41/306,758.33
  6. Step 6: Final answer
    x = 160,620.02

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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.