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Finding the Fourth Proportional to 233,512, 350,235.18 and 75,741.82

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Solution

The fourth proportional to 233,512, 350,235.18 and 75,741.82 is: 113,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,512 : 350,235.18 = 75,741.82 : x
  2. Step 2: Convert to fraction form
    233,512/350,235.18 = 75,741.82/x
  3. Step 3: Cross multiply
    233,512x = 350,235.18 × 75,741.82
  4. Step 4: Simplify right side
    233,512x = 26,527,449,961.23
  5. Step 5: Solve for x
    x = 26,527,449,961.23/233,512
  6. Step 6: Final answer
    x = 113,602.08

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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.