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Finding the Fourth Proportional to 209,295.88, 313,943.82 and 61,551.88

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Solution

The fourth proportional to 209,295.88, 313,943.82 and 61,551.88 is: 92,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,295.88 : 313,943.82 = 61,551.88 : x
  2. Step 2: Convert to fraction form
    209,295.88/313,943.82 = 61,551.88/x
  3. Step 3: Cross multiply
    209,295.88x = 313,943.82 × 61,551.88
  4. Step 4: Simplify right side
    209,295.88x = 19,323,832,335.38
  5. Step 5: Solve for x
    x = 19,323,832,335.38/209,295.88
  6. Step 6: Final answer
    x = 92,327.82

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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.