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Finding the Fourth Proportional to 270,014.64, 372,618.72 and 149,164.24

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Solution

The fourth proportional to 270,014.64, 372,618.72 and 149,164.24 is: 205,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,014.64 : 372,618.72 = 149,164.24 : x
  2. Step 2: Convert to fraction form
    270,014.64/372,618.72 = 149,164.24/x
  3. Step 3: Cross multiply
    270,014.64x = 372,618.72 × 149,164.24
  4. Step 4: Simplify right side
    270,014.64x = 55,581,388,178.57
  5. Step 5: Solve for x
    x = 55,581,388,178.57/270,014.64
  6. Step 6: Final answer
    x = 205,845.83

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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.