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Finding the Fourth Proportional to 208,121.14, 312,146.50 and 58,326.96

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Solution

The fourth proportional to 208,121.14, 312,146.50 and 58,326.96 is: 87,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,121.14 : 312,146.50 = 58,326.96 : x
  2. Step 2: Convert to fraction form
    208,121.14/312,146.50 = 58,326.96/x
  3. Step 3: Cross multiply
    208,121.14x = 312,146.50 × 58,326.96
  4. Step 4: Simplify right side
    208,121.14x = 18,206,556,419.64
  5. Step 5: Solve for x
    x = 18,206,556,419.64/208,121.14
  6. Step 6: Final answer
    x = 87,480.57

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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.