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Finding the Fourth Proportional to 260,841.84, 359,965.47 and 151,943.38

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Solution

The fourth proportional to 260,841.84, 359,965.47 and 151,943.38 is: 209,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,841.84 : 359,965.47 = 151,943.38 : x
  2. Step 2: Convert to fraction form
    260,841.84/359,965.47 = 151,943.38/x
  3. Step 3: Cross multiply
    260,841.84x = 359,965.47 × 151,943.38
  4. Step 4: Simplify right side
    260,841.84x = 54,694,370,195.09
  5. Step 5: Solve for x
    x = 54,694,370,195.09/260,841.84
  6. Step 6: Final answer
    x = 209,684.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.