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Finding the Fourth Proportional to 233,170.58, 349,659.31 and 73,193.06

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Solution

The fourth proportional to 233,170.58, 349,659.31 and 73,193.06 is: 109,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,170.58 : 349,659.31 = 73,193.06 : x
  2. Step 2: Convert to fraction form
    233,170.58/349,659.31 = 73,193.06/x
  3. Step 3: Cross multiply
    233,170.58x = 349,659.31 × 73,193.06
  4. Step 4: Simplify right side
    233,170.58x = 25,592,634,856.39
  5. Step 5: Solve for x
    x = 25,592,634,856.39/233,170.58
  6. Step 6: Final answer
    x = 109,759.28

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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.