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Finding the Fourth Proportional to 144,339.68, 216,504.66 and 50,843

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Solution

The fourth proportional to 144,339.68, 216,504.66 and 50,843 is: 76,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,339.68 : 216,504.66 = 50,843 : x
  2. Step 2: Convert to fraction form
    144,339.68/216,504.66 = 50,843/x
  3. Step 3: Cross multiply
    144,339.68x = 216,504.66 × 50,843
  4. Step 4: Simplify right side
    144,339.68x = 11,007,746,428.38
  5. Step 5: Solve for x
    x = 11,007,746,428.38/144,339.68
  6. Step 6: Final answer
    x = 76,262.79

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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.