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Finding the Fourth Proportional to 165,991.92, 229,048.92 and 94,372.08

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Solution

The fourth proportional to 165,991.92, 229,048.92 and 94,372.08 is: 130,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,991.92 : 229,048.92 = 94,372.08 : x
  2. Step 2: Convert to fraction form
    165,991.92/229,048.92 = 94,372.08/x
  3. Step 3: Cross multiply
    165,991.92x = 229,048.92 × 94,372.08
  4. Step 4: Simplify right side
    165,991.92x = 21,615,823,002.15
  5. Step 5: Solve for x
    x = 21,615,823,002.15/165,991.92
  6. Step 6: Final answer
    x = 130,222.14

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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.