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Finding the Fourth Proportional to 159,051.85, 219,418.38 and 140,921.05

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Solution

The fourth proportional to 159,051.85, 219,418.38 and 140,921.05 is: 194,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,051.85 : 219,418.38 = 140,921.05 : x
  2. Step 2: Convert to fraction form
    159,051.85/219,418.38 = 140,921.05/x
  3. Step 3: Cross multiply
    159,051.85x = 219,418.38 × 140,921.05
  4. Step 4: Simplify right side
    159,051.85x = 30,920,668,498.90
  5. Step 5: Solve for x
    x = 30,920,668,498.90/159,051.85
  6. Step 6: Final answer
    x = 194,406.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.