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Finding the Fourth Proportional to 144,005.50, 215,986.34 and 55,300.78

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Solution

The fourth proportional to 144,005.50, 215,986.34 and 55,300.78 is: 82,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,005.50 : 215,986.34 = 55,300.78 : x
  2. Step 2: Convert to fraction form
    144,005.50/215,986.34 = 55,300.78/x
  3. Step 3: Cross multiply
    144,005.50x = 215,986.34 × 55,300.78
  4. Step 4: Simplify right side
    144,005.50x = 11,944,213,071.35
  5. Step 5: Solve for x
    x = 11,944,213,071.35/144,005.50
  6. Step 6: Final answer
    x = 82,942.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.