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Finding the Fourth Proportional to 207,897.63, 311,843.71 and 50,124.82

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Solution

The fourth proportional to 207,897.63, 311,843.71 and 50,124.82 is: 75,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,897.63 : 311,843.71 = 50,124.82 : x
  2. Step 2: Convert to fraction form
    207,897.63/311,843.71 = 50,124.82/x
  3. Step 3: Cross multiply
    207,897.63x = 311,843.71 × 50,124.82
  4. Step 4: Simplify right side
    207,897.63x = 15,631,109,831.88
  5. Step 5: Solve for x
    x = 15,631,109,831.88/207,897.63
  6. Step 6: Final answer
    x = 75,186.57

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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.