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Finding the Fourth Proportional to 233,589.96, 322,354.08 and 126,159.96

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Solution

The fourth proportional to 233,589.96, 322,354.08 and 126,159.96 is: 174,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,589.96 : 322,354.08 = 126,159.96 : x
  2. Step 2: Convert to fraction form
    233,589.96/322,354.08 = 126,159.96/x
  3. Step 3: Cross multiply
    233,589.96x = 322,354.08 × 126,159.96
  4. Step 4: Simplify right side
    233,589.96x = 40,668,177,838.64
  5. Step 5: Solve for x
    x = 40,668,177,838.64/233,589.96
  6. Step 6: Final answer
    x = 174,100.71

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Why These Related Problems?

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