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Finding the Fourth Proportional to 233,640, 350,709.52 and 100,586.24

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Solution

The fourth proportional to 233,640, 350,709.52 and 100,586.24 is: 150,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,640 : 350,709.52 = 100,586.24 : x
  2. Step 2: Convert to fraction form
    233,640/350,709.52 = 100,586.24/x
  3. Step 3: Cross multiply
    233,640x = 350,709.52 × 100,586.24
  4. Step 4: Simplify right side
    233,640x = 35,276,551,949.00
  5. Step 5: Solve for x
    x = 35,276,551,949.00/233,640
  6. Step 6: Final answer
    x = 150,986.78

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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.