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Finding the Fourth Proportional to 233,409.20, 350,065.20 and 100,293.80

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Solution

The fourth proportional to 233,409.20, 350,065.20 and 100,293.80 is: 150,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,409.20 : 350,065.20 = 100,293.80 : x
  2. Step 2: Convert to fraction form
    233,409.20/350,065.20 = 100,293.80/x
  3. Step 3: Cross multiply
    233,409.20x = 350,065.20 × 100,293.80
  4. Step 4: Simplify right side
    233,409.20x = 35,109,369,155.76
  5. Step 5: Solve for x
    x = 35,109,369,155.76/233,409.20
  6. Step 6: Final answer
    x = 150,419.82

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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.