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Finding the Fourth Proportional to 165,114.54, 227,858.12 and 89,663.04

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Solution

The fourth proportional to 165,114.54, 227,858.12 and 89,663.04 is: 123,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,114.54 : 227,858.12 = 89,663.04 : x
  2. Step 2: Convert to fraction form
    165,114.54/227,858.12 = 89,663.04/x
  3. Step 3: Cross multiply
    165,114.54x = 227,858.12 × 89,663.04
  4. Step 4: Simplify right side
    165,114.54x = 20,430,451,279.57
  5. Step 5: Solve for x
    x = 20,430,451,279.57/165,114.54
  6. Step 6: Final answer
    x = 123,735.02

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1.5x scale

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.