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Finding the Fourth Proportional to 144,343.68, 216,510.64 and 50,847

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Solution

The fourth proportional to 144,343.68, 216,510.64 and 50,847 is: 76,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,343.68 : 216,510.64 = 50,847 : x
  2. Step 2: Convert to fraction form
    144,343.68/216,510.64 = 50,847/x
  3. Step 3: Cross multiply
    144,343.68x = 216,510.64 × 50,847
  4. Step 4: Simplify right side
    144,343.68x = 11,008,916,512.08
  5. Step 5: Solve for x
    x = 11,008,916,512.08/144,343.68
  6. Step 6: Final answer
    x = 76,268.78

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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.