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Finding the Fourth Proportional to 209,673, 314,511.93 and 51,902.82

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Solution

The fourth proportional to 209,673, 314,511.93 and 51,902.82 is: 77,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,673 : 314,511.93 = 51,902.82 : x
  2. Step 2: Convert to fraction form
    209,673/314,511.93 = 51,902.82/x
  3. Step 3: Cross multiply
    209,673x = 314,511.93 × 51,902.82
  4. Step 4: Simplify right side
    209,673x = 16,324,056,090.64
  5. Step 5: Solve for x
    x = 16,324,056,090.64/209,673
  6. Step 6: Final answer
    x = 77,854.83

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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.