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Finding the Fourth Proportional to 169,112.40, 232,902.72 and 165,438.24

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Solution

The fourth proportional to 169,112.40, 232,902.72 and 165,438.24 is: 227,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,112.40 : 232,902.72 = 165,438.24 : x
  2. Step 2: Convert to fraction form
    169,112.40/232,902.72 = 165,438.24/x
  3. Step 3: Cross multiply
    169,112.40x = 232,902.72 × 165,438.24
  4. Step 4: Simplify right side
    169,112.40x = 38,531,016,088.01
  5. Step 5: Solve for x
    x = 38,531,016,088.01/169,112.40
  6. Step 6: Final answer
    x = 227,842.64

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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.