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Finding the Fourth Proportional to 169,343.33, 233,640.45 and 105,717.96

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Solution

The fourth proportional to 169,343.33, 233,640.45 and 105,717.96 is: 145,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,343.33 : 233,640.45 = 105,717.96 : x
  2. Step 2: Convert to fraction form
    169,343.33/233,640.45 = 105,717.96/x
  3. Step 3: Cross multiply
    169,343.33x = 233,640.45 × 105,717.96
  4. Step 4: Simplify right side
    169,343.33x = 24,699,991,747.48
  5. Step 5: Solve for x
    x = 24,699,991,747.48/169,343.33
  6. Step 6: Final answer
    x = 145,857.49

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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.