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Finding the Fourth Proportional to 164,654.74, 227,223.77 and 89,203.24

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Solution

The fourth proportional to 164,654.74, 227,223.77 and 89,203.24 is: 123,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,654.74 : 227,223.77 = 89,203.24 : x
  2. Step 2: Convert to fraction form
    164,654.74/227,223.77 = 89,203.24/x
  3. Step 3: Cross multiply
    164,654.74x = 227,223.77 × 89,203.24
  4. Step 4: Simplify right side
    164,654.74x = 20,269,096,489.01
  5. Step 5: Solve for x
    x = 20,269,096,489.01/164,654.74
  6. Step 6: Final answer
    x = 123,100.60

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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.