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Finding the Fourth Proportional to 125,993.26, 188,985.16 and 31,223.72

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Solution

The fourth proportional to 125,993.26, 188,985.16 and 31,223.72 is: 46,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,993.26 : 188,985.16 = 31,223.72 : x
  2. Step 2: Convert to fraction form
    125,993.26/188,985.16 = 31,223.72/x
  3. Step 3: Cross multiply
    125,993.26x = 188,985.16 × 31,223.72
  4. Step 4: Simplify right side
    125,993.26x = 5,900,819,720.00
  5. Step 5: Solve for x
    x = 5,900,819,720.00/125,993.26
  6. Step 6: Final answer
    x = 46,834.41

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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.