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Finding the Fourth Proportional to 301,398.48, 451,821.24 and 135,095.76

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Solution

The fourth proportional to 301,398.48, 451,821.24 and 135,095.76 is: 202,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,398.48 : 451,821.24 = 135,095.76 : x
  2. Step 2: Convert to fraction form
    301,398.48/451,821.24 = 135,095.76/x
  3. Step 3: Cross multiply
    301,398.48x = 451,821.24 × 135,095.76
  4. Step 4: Simplify right side
    301,398.48x = 61,039,133,801.94
  5. Step 5: Solve for x
    x = 61,039,133,801.94/301,398.48
  6. Step 6: Final answer
    x = 202,519.71

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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.