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Finding the Fourth Proportional to 144,342.68, 216,509.14 and 50,846

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Solution

The fourth proportional to 144,342.68, 216,509.14 and 50,846 is: 76,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,342.68 : 216,509.14 = 50,846 : x
  2. Step 2: Convert to fraction form
    144,342.68/216,509.14 = 50,846/x
  3. Step 3: Cross multiply
    144,342.68x = 216,509.14 × 50,846
  4. Step 4: Simplify right side
    144,342.68x = 11,008,623,732.44
  5. Step 5: Solve for x
    x = 11,008,623,732.44/144,342.68
  6. Step 6: Final answer
    x = 76,267.28

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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.