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Finding the Fourth Proportional to 193,980.60, 290,975.76 and 53,740.44

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Solution

The fourth proportional to 193,980.60, 290,975.76 and 53,740.44 is: 80,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,980.60 : 290,975.76 = 53,740.44 : x
  2. Step 2: Convert to fraction form
    193,980.60/290,975.76 = 53,740.44/x
  3. Step 3: Cross multiply
    193,980.60x = 290,975.76 × 53,740.44
  4. Step 4: Simplify right side
    193,980.60x = 15,637,165,371.73
  5. Step 5: Solve for x
    x = 15,637,165,371.73/193,980.60
  6. Step 6: Final answer
    x = 80,612.01

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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.