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Finding the Fourth Proportional to 260,815.38, 359,905.39 and 158,829.54

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Solution

The fourth proportional to 260,815.38, 359,905.39 and 158,829.54 is: 219,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,815.38 : 359,905.39 = 158,829.54 : x
  2. Step 2: Convert to fraction form
    260,815.38/359,905.39 = 158,829.54/x
  3. Step 3: Cross multiply
    260,815.38x = 359,905.39 × 158,829.54
  4. Step 4: Simplify right side
    260,815.38x = 57,163,607,537.22
  5. Step 5: Solve for x
    x = 57,163,607,537.22/260,815.38
  6. Step 6: Final answer
    x = 219,172.69

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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.