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Finding the Fourth Proportional to 100,141.86, 150,264.54 and 44,021.36

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Solution

The fourth proportional to 100,141.86, 150,264.54 and 44,021.36 is: 66,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,141.86 : 150,264.54 = 44,021.36 : x
  2. Step 2: Convert to fraction form
    100,141.86/150,264.54 = 44,021.36/x
  3. Step 3: Cross multiply
    100,141.86x = 150,264.54 × 44,021.36
  4. Step 4: Simplify right side
    100,141.86x = 6,614,849,410.57
  5. Step 5: Solve for x
    x = 6,614,849,410.57/100,141.86
  6. Step 6: Final answer
    x = 66,054.79

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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.