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Finding the Fourth Proportional to 275,776.32, 413,641.44 and 109,519.68

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Solution

The fourth proportional to 275,776.32, 413,641.44 and 109,519.68 is: 164,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,776.32 : 413,641.44 = 109,519.68 : x
  2. Step 2: Convert to fraction form
    275,776.32/413,641.44 = 109,519.68/x
  3. Step 3: Cross multiply
    275,776.32x = 413,641.44 × 109,519.68
  4. Step 4: Simplify right side
    275,776.32x = 45,301,878,143.54
  5. Step 5: Solve for x
    x = 45,301,878,143.54/275,776.32
  6. Step 6: Final answer
    x = 164,270.37

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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.