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Finding the Fourth Proportional to 123,755.40, 185,633.10 and 89,022.60

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Solution

The fourth proportional to 123,755.40, 185,633.10 and 89,022.60 is: 133,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,755.40 : 185,633.10 = 89,022.60 : x
  2. Step 2: Convert to fraction form
    123,755.40/185,633.10 = 89,022.60/x
  3. Step 3: Cross multiply
    123,755.40x = 185,633.10 × 89,022.60
  4. Step 4: Simplify right side
    123,755.40x = 16,525,541,208.06
  5. Step 5: Solve for x
    x = 16,525,541,208.06/123,755.40
  6. Step 6: Final answer
    x = 133,533.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.