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Finding the Fourth Proportional to 165,102.10, 227,830.02 and 91,509.65

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Solution

The fourth proportional to 165,102.10, 227,830.02 and 91,509.65 is: 126,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,102.10 : 227,830.02 = 91,509.65 : x
  2. Step 2: Convert to fraction form
    165,102.10/227,830.02 = 91,509.65/x
  3. Step 3: Cross multiply
    165,102.10x = 227,830.02 × 91,509.65
  4. Step 4: Simplify right side
    165,102.10x = 20,848,644,761.74
  5. Step 5: Solve for x
    x = 20,848,644,761.74/165,102.10
  6. Step 6: Final answer
    x = 126,277.29

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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.