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Finding the Fourth Proportional to 260,402.73, 359,382.56 and 158,435.43

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Solution

The fourth proportional to 260,402.73, 359,382.56 and 158,435.43 is: 218,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,402.73 : 359,382.56 = 158,435.43 : x
  2. Step 2: Convert to fraction form
    260,402.73/359,382.56 = 158,435.43/x
  3. Step 3: Cross multiply
    260,402.73x = 359,382.56 × 158,435.43
  4. Step 4: Simplify right side
    260,402.73x = 56,938,929,635.92
  5. Step 5: Solve for x
    x = 56,938,929,635.92/260,402.73
  6. Step 6: Final answer
    x = 218,657.19

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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.