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Finding the Fourth Proportional to 209,758.62, 314,912.37 and 124,525.11

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Solution

The fourth proportional to 209,758.62, 314,912.37 and 124,525.11 is: 186,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,758.62 : 314,912.37 = 124,525.11 : x
  2. Step 2: Convert to fraction form
    209,758.62/314,912.37 = 124,525.11/x
  3. Step 3: Cross multiply
    209,758.62x = 314,912.37 × 124,525.11
  4. Step 4: Simplify right side
    209,758.62x = 39,214,497,514.61
  5. Step 5: Solve for x
    x = 39,214,497,514.61/209,758.62
  6. Step 6: Final answer
    x = 186,950.59

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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.