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Finding the Fourth Proportional to 100,151.94, 150,223.92 and 25,271.08

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Solution

The fourth proportional to 100,151.94, 150,223.92 and 25,271.08 is: 37,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,151.94 : 150,223.92 = 25,271.08 : x
  2. Step 2: Convert to fraction form
    100,151.94/150,223.92 = 25,271.08/x
  3. Step 3: Cross multiply
    100,151.94x = 150,223.92 × 25,271.08
  4. Step 4: Simplify right side
    100,151.94x = 3,796,320,700.23
  5. Step 5: Solve for x
    x = 3,796,320,700.23/100,151.94
  6. Step 6: Final answer
    x = 37,905.61

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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.