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Finding the Fourth Proportional to 164,640.52, 227,203.94 and 89,189.02

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Solution

The fourth proportional to 164,640.52, 227,203.94 and 89,189.02 is: 123,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,640.52 : 227,203.94 = 89,189.02 : x
  2. Step 2: Convert to fraction form
    164,640.52/227,203.94 = 89,189.02/x
  3. Step 3: Cross multiply
    164,640.52x = 227,203.94 × 89,189.02
  4. Step 4: Simplify right side
    164,640.52x = 20,264,095,166.77
  5. Step 5: Solve for x
    x = 20,264,095,166.77/164,640.52
  6. Step 6: Final answer
    x = 123,080.85

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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.