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Finding the Fourth Proportional to 233,853.40, 350,832 and 109,126.36

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Solution

The fourth proportional to 233,853.40, 350,832 and 109,126.36 is: 163,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,853.40 : 350,832 = 109,126.36 : x
  2. Step 2: Convert to fraction form
    233,853.40/350,832 = 109,126.36/x
  3. Step 3: Cross multiply
    233,853.40x = 350,832 × 109,126.36
  4. Step 4: Simplify right side
    233,853.40x = 38,285,019,131.52
  5. Step 5: Solve for x
    x = 38,285,019,131.52/233,853.40
  6. Step 6: Final answer
    x = 163,713.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.