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Finding the Fourth Proportional to 253,726.44, 380,524.04 and 120,341.31

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Solution

The fourth proportional to 253,726.44, 380,524.04 and 120,341.31 is: 180,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,726.44 : 380,524.04 = 120,341.31 : x
  2. Step 2: Convert to fraction form
    253,726.44/380,524.04 = 120,341.31/x
  3. Step 3: Cross multiply
    253,726.44x = 380,524.04 × 120,341.31
  4. Step 4: Simplify right side
    253,726.44x = 45,792,761,460.09
  5. Step 5: Solve for x
    x = 45,792,761,460.09/253,726.44
  6. Step 6: Final answer
    x = 180,480.84

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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.