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Finding the Fourth Proportional to 223,494.31, 335,247.54 and 65,727.78

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Solution

The fourth proportional to 223,494.31, 335,247.54 and 65,727.78 is: 98,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,494.31 : 335,247.54 = 65,727.78 : x
  2. Step 2: Convert to fraction form
    223,494.31/335,247.54 = 65,727.78/x
  3. Step 3: Cross multiply
    223,494.31x = 335,247.54 × 65,727.78
  4. Step 4: Simplify right side
    223,494.31x = 22,035,076,554.66
  5. Step 5: Solve for x
    x = 22,035,076,554.66/223,494.31
  6. Step 6: Final answer
    x = 98,593.46

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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.