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Finding the Fourth Proportional to 165,190.22, 227,943.12 and 97,192.22

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Solution

The fourth proportional to 165,190.22, 227,943.12 and 97,192.22 is: 134,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,190.22 : 227,943.12 = 97,192.22 : x
  2. Step 2: Convert to fraction form
    165,190.22/227,943.12 = 97,192.22/x
  3. Step 3: Cross multiply
    165,190.22x = 227,943.12 × 97,192.22
  4. Step 4: Simplify right side
    165,190.22x = 22,154,297,866.53
  5. Step 5: Solve for x
    x = 22,154,297,866.53/165,190.22
  6. Step 6: Final answer
    x = 134,113.86

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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.