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Finding the Fourth Proportional to 164,706.10, 227,294.67 and 89,254.60

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Solution

The fourth proportional to 164,706.10, 227,294.67 and 89,254.60 is: 123,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,706.10 : 227,294.67 = 89,254.60 : x
  2. Step 2: Convert to fraction form
    164,706.10/227,294.67 = 89,254.60/x
  3. Step 3: Cross multiply
    164,706.10x = 227,294.67 × 89,254.60
  4. Step 4: Simplify right side
    164,706.10x = 20,287,094,619.45
  5. Step 5: Solve for x
    x = 20,287,094,619.45/164,706.10
  6. Step 6: Final answer
    x = 123,171.49

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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.