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Finding the Fourth Proportional to 165,146.81, 227,894.94 and 93,527.33

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Solution

The fourth proportional to 165,146.81, 227,894.94 and 93,527.33 is: 129,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,146.81 : 227,894.94 = 93,527.33 : x
  2. Step 2: Convert to fraction form
    165,146.81/227,894.94 = 93,527.33/x
  3. Step 3: Cross multiply
    165,146.81x = 227,894.94 × 93,527.33
  4. Step 4: Simplify right side
    165,146.81x = 21,314,404,119.24
  5. Step 5: Solve for x
    x = 21,314,404,119.24/165,146.81
  6. Step 6: Final answer
    x = 129,063.38

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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.