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Finding the Fourth Proportional to 209,292.75, 313,939.14 and 61,548.75

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Solution

The fourth proportional to 209,292.75, 313,939.14 and 61,548.75 is: 92,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,292.75 : 313,939.14 = 61,548.75 : x
  2. Step 2: Convert to fraction form
    209,292.75/313,939.14 = 61,548.75/x
  3. Step 3: Cross multiply
    209,292.75x = 313,939.14 × 61,548.75
  4. Step 4: Simplify right side
    209,292.75x = 19,322,561,758.48
  5. Step 5: Solve for x
    x = 19,322,561,758.48/209,292.75
  6. Step 6: Final answer
    x = 92,323.13

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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.