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Finding the Fourth Proportional to 270,384.48, 405,633.83 and 101,901.24

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Solution

The fourth proportional to 270,384.48, 405,633.83 and 101,901.24 is: 152,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,384.48 : 405,633.83 = 101,901.24 : x
  2. Step 2: Convert to fraction form
    270,384.48/405,633.83 = 101,901.24/x
  3. Step 3: Cross multiply
    270,384.48x = 405,633.83 × 101,901.24
  4. Step 4: Simplify right side
    270,384.48x = 41,334,589,753.44
  5. Step 5: Solve for x
    x = 41,334,589,753.44/270,384.48
  6. Step 6: Final answer
    x = 152,873.38

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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.