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Finding the Fourth Proportional to 233,411.20, 350,068.20 and 100,295.80

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Solution

The fourth proportional to 233,411.20, 350,068.20 and 100,295.80 is: 150,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,411.20 : 350,068.20 = 100,295.80 : x
  2. Step 2: Convert to fraction form
    233,411.20/350,068.20 = 100,295.80/x
  3. Step 3: Cross multiply
    233,411.20x = 350,068.20 × 100,295.80
  4. Step 4: Simplify right side
    233,411.20x = 35,110,370,173.56
  5. Step 5: Solve for x
    x = 35,110,370,173.56/233,411.20
  6. Step 6: Final answer
    x = 150,422.82

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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.