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Finding the Fourth Proportional to 165,507.69, 227,965.54 and 127,193.93

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Solution

The fourth proportional to 165,507.69, 227,965.54 and 127,193.93 is: 175,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,507.69 : 227,965.54 = 127,193.93 : x
  2. Step 2: Convert to fraction form
    165,507.69/227,965.54 = 127,193.93/x
  3. Step 3: Cross multiply
    165,507.69x = 227,965.54 × 127,193.93
  4. Step 4: Simplify right side
    165,507.69x = 28,995,832,937.17
  5. Step 5: Solve for x
    x = 28,995,832,937.17/165,507.69
  6. Step 6: Final answer
    x = 175,193.27

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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.