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Finding the Fourth Proportional to 169,123.96, 233,392.78 and 102,043

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Solution

The fourth proportional to 169,123.96, 233,392.78 and 102,043 is: 140,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,123.96 : 233,392.78 = 102,043 : x
  2. Step 2: Convert to fraction form
    169,123.96/233,392.78 = 102,043/x
  3. Step 3: Cross multiply
    169,123.96x = 233,392.78 × 102,043
  4. Step 4: Simplify right side
    169,123.96x = 23,816,099,449.54
  5. Step 5: Solve for x
    x = 23,816,099,449.54/169,123.96
  6. Step 6: Final answer
    x = 140,820.37

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