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Finding the Fourth Proportional to 223,840.07, 335,549.03 and 111,414

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Solution

The fourth proportional to 223,840.07, 335,549.03 and 111,414 is: 167,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,840.07 : 335,549.03 = 111,414 : x
  2. Step 2: Convert to fraction form
    223,840.07/335,549.03 = 111,414/x
  3. Step 3: Cross multiply
    223,840.07x = 335,549.03 × 111,414
  4. Step 4: Simplify right side
    223,840.07x = 37,384,859,071.35
  5. Step 5: Solve for x
    x = 37,384,859,071.35/223,840.07
  6. Step 6: Final answer
    x = 167,015.94

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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.