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Finding the Fourth Proportional to 202,245.14, 279,087.38 and 111,583.34

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Solution

The fourth proportional to 202,245.14, 279,087.38 and 111,583.34 is: 153,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,245.14 : 279,087.38 = 111,583.34 : x
  2. Step 2: Convert to fraction form
    202,245.14/279,087.38 = 111,583.34/x
  3. Step 3: Cross multiply
    202,245.14x = 279,087.38 × 111,583.34
  4. Step 4: Simplify right side
    202,245.14x = 31,141,502,012.25
  5. Step 5: Solve for x
    x = 31,141,502,012.25/202,245.14
  6. Step 6: Final answer
    x = 153,978.99

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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.