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Finding the Fourth Proportional to 262,058.58, 393,076.80 and 119,821.50

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Solution

The fourth proportional to 262,058.58, 393,076.80 and 119,821.50 is: 179,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,058.58 : 393,076.80 = 119,821.50 : x
  2. Step 2: Convert to fraction form
    262,058.58/393,076.80 = 119,821.50/x
  3. Step 3: Cross multiply
    262,058.58x = 393,076.80 × 119,821.50
  4. Step 4: Simplify right side
    262,058.58x = 47,099,051,791.20
  5. Step 5: Solve for x
    x = 47,099,051,791.20/262,058.58
  6. Step 6: Final answer
    x = 179,727.19

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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.