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Finding the Fourth Proportional to 270,069.68, 372,690.96 and 149,216.24

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Solution

The fourth proportional to 270,069.68, 372,690.96 and 149,216.24 is: 205,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,069.68 : 372,690.96 = 149,216.24 : x
  2. Step 2: Convert to fraction form
    270,069.68/372,690.96 = 149,216.24/x
  3. Step 3: Cross multiply
    270,069.68x = 372,690.96 × 149,216.24
  4. Step 4: Simplify right side
    270,069.68x = 55,611,543,733.19
  5. Step 5: Solve for x
    x = 55,611,543,733.19/270,069.68
  6. Step 6: Final answer
    x = 205,915.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.