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Finding the Fourth Proportional to 193,699.54, 290,538.03 and 87,056.02

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Solution

The fourth proportional to 193,699.54, 290,538.03 and 87,056.02 is: 130,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,699.54 : 290,538.03 = 87,056.02 : x
  2. Step 2: Convert to fraction form
    193,699.54/290,538.03 = 87,056.02/x
  3. Step 3: Cross multiply
    193,699.54x = 290,538.03 × 87,056.02
  4. Step 4: Simplify right side
    193,699.54x = 25,293,084,550.44
  5. Step 5: Solve for x
    x = 25,293,084,550.44/193,699.54
  6. Step 6: Final answer
    x = 130,578.96

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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.