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Finding the Fourth Proportional to 260,252.60, 359,010.11 and 158,309.24

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Solution

The fourth proportional to 260,252.60, 359,010.11 and 158,309.24 is: 218,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,252.60 : 359,010.11 = 158,309.24 : x
  2. Step 2: Convert to fraction form
    260,252.60/359,010.11 = 158,309.24/x
  3. Step 3: Cross multiply
    260,252.60x = 359,010.11 × 158,309.24
  4. Step 4: Simplify right side
    260,252.60x = 56,834,616,874.87
  5. Step 5: Solve for x
    x = 56,834,616,874.87/260,252.60
  6. Step 6: Final answer
    x = 218,382.51

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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.