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Finding the Fourth Proportional to 193,180.20, 289,424.70 and 165,532.20

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Solution

The fourth proportional to 193,180.20, 289,424.70 and 165,532.20 is: 248,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,180.20 : 289,424.70 = 165,532.20 : x
  2. Step 2: Convert to fraction form
    193,180.20/289,424.70 = 165,532.20/x
  3. Step 3: Cross multiply
    193,180.20x = 289,424.70 × 165,532.20
  4. Step 4: Simplify right side
    193,180.20x = 47,909,107,325.34
  5. Step 5: Solve for x
    x = 47,909,107,325.34/193,180.20
  6. Step 6: Final answer
    x = 248,002.16

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