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Finding the Fourth Proportional to 164,972.14, 227,662.14 and 89,520.64

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Solution

The fourth proportional to 164,972.14, 227,662.14 and 89,520.64 is: 123,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,972.14 : 227,662.14 = 89,520.64 : x
  2. Step 2: Convert to fraction form
    164,972.14/227,662.14 = 89,520.64/x
  3. Step 3: Cross multiply
    164,972.14x = 227,662.14 × 89,520.64
  4. Step 4: Simplify right side
    164,972.14x = 20,380,460,476.57
  5. Step 5: Solve for x
    x = 20,380,460,476.57/164,972.14
  6. Step 6: Final answer
    x = 123,538.80

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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.