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Finding the Fourth Proportional to 205,740.60, 283,915.42 and 115,094.60

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Solution

The fourth proportional to 205,740.60, 283,915.42 and 115,094.60 is: 158,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,740.60 : 283,915.42 = 115,094.60 : x
  2. Step 2: Convert to fraction form
    205,740.60/283,915.42 = 115,094.60/x
  3. Step 3: Cross multiply
    205,740.60x = 283,915.42 × 115,094.60
  4. Step 4: Simplify right side
    205,740.60x = 32,677,131,698.73
  5. Step 5: Solve for x
    x = 32,677,131,698.73/205,740.60
  6. Step 6: Final answer
    x = 158,826.85

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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.