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Finding the Fourth Proportional to 125,678.44, 188,477.70 and 41,422.90

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Solution

The fourth proportional to 125,678.44, 188,477.70 and 41,422.90 is: 62,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,678.44 : 188,477.70 = 41,422.90 : x
  2. Step 2: Convert to fraction form
    125,678.44/188,477.70 = 41,422.90/x
  3. Step 3: Cross multiply
    125,678.44x = 188,477.70 × 41,422.90
  4. Step 4: Simplify right side
    125,678.44x = 7,807,292,919.33
  5. Step 5: Solve for x
    x = 7,807,292,919.33/125,678.44
  6. Step 6: Final answer
    x = 62,121.18

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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.