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Finding the Fourth Proportional to 164,684.10, 227,264.10 and 89,232.60

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Solution

The fourth proportional to 164,684.10, 227,264.10 and 89,232.60 is: 123,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,684.10 : 227,264.10 = 89,232.60 : x
  2. Step 2: Convert to fraction form
    164,684.10/227,264.10 = 89,232.60/x
  3. Step 3: Cross multiply
    164,684.10x = 227,264.10 × 89,232.60
  4. Step 4: Simplify right side
    164,684.10x = 20,279,366,529.66
  5. Step 5: Solve for x
    x = 20,279,366,529.66/164,684.10
  6. Step 6: Final answer
    x = 123,141.01

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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.