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Finding the Fourth Proportional to 233,956, 350,970.48 and 76,147.12

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Solution

The fourth proportional to 233,956, 350,970.48 and 76,147.12 is: 114,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,956 : 350,970.48 = 76,147.12 : x
  2. Step 2: Convert to fraction form
    233,956/350,970.48 = 76,147.12/x
  3. Step 3: Cross multiply
    233,956x = 350,970.48 × 76,147.12
  4. Step 4: Simplify right side
    233,956x = 26,725,391,257.02
  5. Step 5: Solve for x
    x = 26,725,391,257.02/233,956
  6. Step 6: Final answer
    x = 114,232.55

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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.