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Finding the Fourth Proportional to 165,192.22, 227,945.88 and 97,194.22

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Solution

The fourth proportional to 165,192.22, 227,945.88 and 97,194.22 is: 134,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,192.22 : 227,945.88 = 97,194.22 : x
  2. Step 2: Convert to fraction form
    165,192.22/227,945.88 = 97,194.22/x
  3. Step 3: Cross multiply
    165,192.22x = 227,945.88 × 97,194.22
  4. Step 4: Simplify right side
    165,192.22x = 22,155,022,008.81
  5. Step 5: Solve for x
    x = 22,155,022,008.81/165,192.22
  6. Step 6: Final answer
    x = 134,116.62

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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.