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Finding the Fourth Proportional to 164,971.76, 227,665.44 and 89,520.32

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Solution

The fourth proportional to 164,971.76, 227,665.44 and 89,520.32 is: 123,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,971.76 : 227,665.44 = 89,520.32 : x
  2. Step 2: Convert to fraction form
    164,971.76/227,665.44 = 89,520.32/x
  3. Step 3: Cross multiply
    164,971.76x = 227,665.44 × 89,520.32
  4. Step 4: Simplify right side
    164,971.76x = 20,380,683,041.74
  5. Step 5: Solve for x
    x = 20,380,683,041.74/164,971.76
  6. Step 6: Final answer
    x = 123,540.44

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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.