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Finding the Fourth Proportional to 208,193.69, 312,243.81 and 95,765.93

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Solution

The fourth proportional to 208,193.69, 312,243.81 and 95,765.93 is: 143,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,193.69 : 312,243.81 = 95,765.93 : x
  2. Step 2: Convert to fraction form
    208,193.69/312,243.81 = 95,765.93/x
  3. Step 3: Cross multiply
    208,193.69x = 312,243.81 × 95,765.93
  4. Step 4: Simplify right side
    208,193.69x = 29,902,317,290.17
  5. Step 5: Solve for x
    x = 29,902,317,290.17/208,193.69
  6. Step 6: Final answer
    x = 143,627.40

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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.