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Finding the Fourth Proportional to 208,632.44, 312,810.39 and 75,495.38

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Solution

The fourth proportional to 208,632.44, 312,810.39 and 75,495.38 is: 113,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,632.44 : 312,810.39 = 75,495.38 : x
  2. Step 2: Convert to fraction form
    208,632.44/312,810.39 = 75,495.38/x
  3. Step 3: Cross multiply
    208,632.44x = 312,810.39 × 75,495.38
  4. Step 4: Simplify right side
    208,632.44x = 23,615,737,696.95
  5. Step 5: Solve for x
    x = 23,615,737,696.95/208,632.44
  6. Step 6: Final answer
    x = 113,193.03

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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.