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Finding the Fourth Proportional to 147,463.86, 203,500.23 and 80,395.86

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Solution

The fourth proportional to 147,463.86, 203,500.23 and 80,395.86 is: 110,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,463.86 : 203,500.23 = 80,395.86 : x
  2. Step 2: Convert to fraction form
    147,463.86/203,500.23 = 80,395.86/x
  3. Step 3: Cross multiply
    147,463.86x = 203,500.23 × 80,395.86
  4. Step 4: Simplify right side
    147,463.86x = 16,360,576,001.05
  5. Step 5: Solve for x
    x = 16,360,576,001.05/147,463.86
  6. Step 6: Final answer
    x = 110,946.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.