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Finding the Fourth Proportional to 165,506.69, 227,964.17 and 127,192.93

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Solution

The fourth proportional to 165,506.69, 227,964.17 and 127,192.93 is: 175,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,506.69 : 227,964.17 = 127,192.93 : x
  2. Step 2: Convert to fraction form
    165,506.69/227,964.17 = 127,192.93/x
  3. Step 3: Cross multiply
    165,506.69x = 227,964.17 × 127,192.93
  4. Step 4: Simplify right side
    165,506.69x = 28,995,430,221.50
  5. Step 5: Solve for x
    x = 28,995,430,221.50/165,506.69
  6. Step 6: Final answer
    x = 175,191.89

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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.