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Finding the Fourth Proportional to 164,531.52, 227,054.21 and 89,080.02

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Solution

The fourth proportional to 164,531.52, 227,054.21 and 89,080.02 is: 122,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,531.52 : 227,054.21 = 89,080.02 : x
  2. Step 2: Convert to fraction form
    164,531.52/227,054.21 = 89,080.02/x
  3. Step 3: Cross multiply
    164,531.52x = 227,054.21 × 89,080.02
  4. Step 4: Simplify right side
    164,531.52x = 20,225,993,122.48
  5. Step 5: Solve for x
    x = 20,225,993,122.48/164,531.52
  6. Step 6: Final answer
    x = 122,930.81

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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.