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Finding the Fourth Proportional to 209,493.88, 314,241.48 and 51,722.36

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Solution

The fourth proportional to 209,493.88, 314,241.48 and 51,722.36 is: 77,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,493.88 : 314,241.48 = 51,722.36 : x
  2. Step 2: Convert to fraction form
    209,493.88/314,241.48 = 51,722.36/x
  3. Step 3: Cross multiply
    209,493.88x = 314,241.48 × 51,722.36
  4. Step 4: Simplify right side
    209,493.88x = 16,253,310,955.49
  5. Step 5: Solve for x
    x = 16,253,310,955.49/209,493.88
  6. Step 6: Final answer
    x = 77,583.70

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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.