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Finding the Fourth Proportional to 199,645.60, 275,534.48 and 114,766.24

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Solution

The fourth proportional to 199,645.60, 275,534.48 and 114,766.24 is: 158,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,645.60 : 275,534.48 = 114,766.24 : x
  2. Step 2: Convert to fraction form
    199,645.60/275,534.48 = 114,766.24/x
  3. Step 3: Cross multiply
    199,645.60x = 275,534.48 × 114,766.24
  4. Step 4: Simplify right side
    199,645.60x = 31,622,056,259.96
  5. Step 5: Solve for x
    x = 31,622,056,259.96/199,645.60
  6. Step 6: Final answer
    x = 158,390.95

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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.