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Finding the Fourth Proportional to 195,194.93, 292,797.25 and 54,952.61

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Solution

The fourth proportional to 195,194.93, 292,797.25 and 54,952.61 is: 82,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,194.93 : 292,797.25 = 54,952.61 : x
  2. Step 2: Convert to fraction form
    195,194.93/292,797.25 = 54,952.61/x
  3. Step 3: Cross multiply
    195,194.93x = 292,797.25 × 54,952.61
  4. Step 4: Simplify right side
    195,194.93x = 16,089,971,486.95
  5. Step 5: Solve for x
    x = 16,089,971,486.95/195,194.93
  6. Step 6: Final answer
    x = 82,430.28

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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.