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Finding the Fourth Proportional to 213,305.44, 320,051.50 and 101,065.82

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Solution

The fourth proportional to 213,305.44, 320,051.50 and 101,065.82 is: 151,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,305.44 : 320,051.50 = 101,065.82 : x
  2. Step 2: Convert to fraction form
    213,305.44/320,051.50 = 101,065.82/x
  3. Step 3: Cross multiply
    213,305.44x = 320,051.50 × 101,065.82
  4. Step 4: Simplify right side
    213,305.44x = 32,346,267,289.73
  5. Step 5: Solve for x
    x = 32,346,267,289.73/213,305.44
  6. Step 6: Final answer
    x = 151,642.96

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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.