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Finding the Fourth Proportional to 322,142.85, 483,058.53 and 119,599.29

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Solution

The fourth proportional to 322,142.85, 483,058.53 and 119,599.29 is: 179,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,142.85 : 483,058.53 = 119,599.29 : x
  2. Step 2: Convert to fraction form
    322,142.85/483,058.53 = 119,599.29/x
  3. Step 3: Cross multiply
    322,142.85x = 483,058.53 × 119,599.29
  4. Step 4: Simplify right side
    322,142.85x = 57,773,457,216.44
  5. Step 5: Solve for x
    x = 57,773,457,216.44/322,142.85
  6. Step 6: Final answer
    x = 179,341.11

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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.