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Finding the Fourth Proportional to 150,642.98, 225,965.80 and 38,323.32

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Solution

The fourth proportional to 150,642.98, 225,965.80 and 38,323.32 is: 57,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642.98 : 225,965.80 = 38,323.32 : x
  2. Step 2: Convert to fraction form
    150,642.98/225,965.80 = 38,323.32/x
  3. Step 3: Cross multiply
    150,642.98x = 225,965.80 × 38,323.32
  4. Step 4: Simplify right side
    150,642.98x = 8,659,758,341.01
  5. Step 5: Solve for x
    x = 8,659,758,341.01/150,642.98
  6. Step 6: Final answer
    x = 57,485.31

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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.