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Finding the Fourth Proportional to 125,665.44, 188,458.17 and 41,409.90

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Solution

The fourth proportional to 125,665.44, 188,458.17 and 41,409.90 is: 62,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,665.44 : 188,458.17 = 41,409.90 : x
  2. Step 2: Convert to fraction form
    125,665.44/188,458.17 = 41,409.90/x
  3. Step 3: Cross multiply
    125,665.44x = 188,458.17 × 41,409.90
  4. Step 4: Simplify right side
    125,665.44x = 7,804,033,973.88
  5. Step 5: Solve for x
    x = 7,804,033,973.88/125,665.44
  6. Step 6: Final answer
    x = 62,101.67

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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.