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Finding the Fourth Proportional to 209,083.94, 313,645.36 and 59,327.90

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Solution

The fourth proportional to 209,083.94, 313,645.36 and 59,327.90 is: 88,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,083.94 : 313,645.36 = 59,327.90 : x
  2. Step 2: Convert to fraction form
    209,083.94/313,645.36 = 59,327.90/x
  3. Step 3: Cross multiply
    209,083.94x = 313,645.36 × 59,327.90
  4. Step 4: Simplify right side
    209,083.94x = 18,607,921,189.34
  5. Step 5: Solve for x
    x = 18,607,921,189.34/209,083.94
  6. Step 6: Final answer
    x = 88,997.37

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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.