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Finding the Fourth Proportional to 157,296.33, 235,747.46 and 123,884.44

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Solution

The fourth proportional to 157,296.33, 235,747.46 and 123,884.44 is: 185,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,296.33 : 235,747.46 = 123,884.44 : x
  2. Step 2: Convert to fraction form
    157,296.33/235,747.46 = 123,884.44/x
  3. Step 3: Cross multiply
    157,296.33x = 235,747.46 × 123,884.44
  4. Step 4: Simplify right side
    157,296.33x = 29,205,441,783.86
  5. Step 5: Solve for x
    x = 29,205,441,783.86/157,296.33
  6. Step 6: Final answer
    x = 185,671.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.