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Finding the Fourth Proportional to 123,032.26, 169,784.52 and 66,443.64

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Solution

The fourth proportional to 123,032.26, 169,784.52 and 66,443.64 is: 91,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,032.26 : 169,784.52 = 66,443.64 : x
  2. Step 2: Convert to fraction form
    123,032.26/169,784.52 = 66,443.64/x
  3. Step 3: Cross multiply
    123,032.26x = 169,784.52 × 66,443.64
  4. Step 4: Simplify right side
    123,032.26x = 11,281,101,524.45
  5. Step 5: Solve for x
    x = 11,281,101,524.45/123,032.26
  6. Step 6: Final answer
    x = 91,692.22

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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.