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Finding the Fourth Proportional to 209,295.25, 313,942.89 and 61,551.25

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Solution

The fourth proportional to 209,295.25, 313,942.89 and 61,551.25 is: 92,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,295.25 : 313,942.89 = 61,551.25 : x
  2. Step 2: Convert to fraction form
    209,295.25/313,942.89 = 61,551.25/x
  3. Step 3: Cross multiply
    209,295.25x = 313,942.89 × 61,551.25
  4. Step 4: Simplify right side
    209,295.25x = 19,323,577,308.11
  5. Step 5: Solve for x
    x = 19,323,577,308.11/209,295.25
  6. Step 6: Final answer
    x = 92,326.88

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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.