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Finding the Fourth Proportional to 128,726.80, 193,090.20 and 45,629.20

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Solution

The fourth proportional to 128,726.80, 193,090.20 and 45,629.20 is: 68,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,726.80 : 193,090.20 = 45,629.20 : x
  2. Step 2: Convert to fraction form
    128,726.80/193,090.20 = 45,629.20/x
  3. Step 3: Cross multiply
    128,726.80x = 193,090.20 × 45,629.20
  4. Step 4: Simplify right side
    128,726.80x = 8,810,551,353.84
  5. Step 5: Solve for x
    x = 8,810,551,353.84/128,726.80
  6. Step 6: Final answer
    x = 68,443.80

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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.