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Finding the Fourth Proportional to 164,681.52, 227,261.28 and 89,230

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Solution

The fourth proportional to 164,681.52, 227,261.28 and 89,230 is: 123,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,681.52 : 227,261.28 = 89,230 : x
  2. Step 2: Convert to fraction form
    164,681.52/227,261.28 = 89,230/x
  3. Step 3: Cross multiply
    164,681.52x = 227,261.28 × 89,230
  4. Step 4: Simplify right side
    164,681.52x = 20,278,524,014.40
  5. Step 5: Solve for x
    x = 20,278,524,014.40/164,681.52
  6. Step 6: Final answer
    x = 123,137.82

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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.