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Finding the Fourth Proportional to 164,732.76, 227,325.10 and 89,279.64

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Solution

The fourth proportional to 164,732.76, 227,325.10 and 89,279.64 is: 123,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,732.76 : 227,325.10 = 89,279.64 : x
  2. Step 2: Convert to fraction form
    164,732.76/227,325.10 = 89,279.64/x
  3. Step 3: Cross multiply
    164,732.76x = 227,325.10 × 89,279.64
  4. Step 4: Simplify right side
    164,732.76x = 20,295,503,090.96
  5. Step 5: Solve for x
    x = 20,295,503,090.96/164,732.76
  6. Step 6: Final answer
    x = 123,202.59

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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.