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Finding the Fourth Proportional to 233,419.80, 350,129.70 and 115,321.80

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Solution

The fourth proportional to 233,419.80, 350,129.70 and 115,321.80 is: 172,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,419.80 : 350,129.70 = 115,321.80 : x
  2. Step 2: Convert to fraction form
    233,419.80/350,129.70 = 115,321.80/x
  3. Step 3: Cross multiply
    233,419.80x = 350,129.70 × 115,321.80
  4. Step 4: Simplify right side
    233,419.80x = 40,377,587,237.46
  5. Step 5: Solve for x
    x = 40,377,587,237.46/233,419.80
  6. Step 6: Final answer
    x = 172,982.70

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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.