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Finding the Fourth Proportional to 164,915.78, 227,584.21 and 89,464.28

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Solution

The fourth proportional to 164,915.78, 227,584.21 and 89,464.28 is: 123,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,915.78 : 227,584.21 = 89,464.28 : x
  2. Step 2: Convert to fraction form
    164,915.78/227,584.21 = 89,464.28/x
  3. Step 3: Cross multiply
    164,915.78x = 227,584.21 × 89,464.28
  4. Step 4: Simplify right side
    164,915.78x = 20,360,657,487.02
  5. Step 5: Solve for x
    x = 20,360,657,487.02/164,915.78
  6. Step 6: Final answer
    x = 123,460.94

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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.