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Finding the Fourth Proportional to 160,805.68, 241,218.75 and 54,180.94

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Solution

The fourth proportional to 160,805.68, 241,218.75 and 54,180.94 is: 81,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,805.68 : 241,218.75 = 54,180.94 : x
  2. Step 2: Convert to fraction form
    160,805.68/241,218.75 = 54,180.94/x
  3. Step 3: Cross multiply
    160,805.68x = 241,218.75 × 54,180.94
  4. Step 4: Simplify right side
    160,805.68x = 13,069,458,620.63
  5. Step 5: Solve for x
    x = 13,069,458,620.63/160,805.68
  6. Step 6: Final answer
    x = 81,274.86

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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.