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Finding the Fourth Proportional to 125,470.85, 188,090.75 and 54,348.80

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Solution

The fourth proportional to 125,470.85, 188,090.75 and 54,348.80 is: 81,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,470.85 : 188,090.75 = 54,348.80 : x
  2. Step 2: Convert to fraction form
    125,470.85/188,090.75 = 54,348.80/x
  3. Step 3: Cross multiply
    125,470.85x = 188,090.75 × 54,348.80
  4. Step 4: Simplify right side
    125,470.85x = 10,222,505,749.02
  5. Step 5: Solve for x
    x = 10,222,505,749.02/125,470.85
  6. Step 6: Final answer
    x = 81,473.16

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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.