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Finding the Fourth Proportional to 125,514.60, 188,270.70 and 30,745.20

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Solution

The fourth proportional to 125,514.60, 188,270.70 and 30,745.20 is: 46,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,514.60 : 188,270.70 = 30,745.20 : x
  2. Step 2: Convert to fraction form
    125,514.60/188,270.70 = 30,745.20/x
  3. Step 3: Cross multiply
    125,514.60x = 188,270.70 × 30,745.20
  4. Step 4: Simplify right side
    125,514.60x = 5,788,420,325.64
  5. Step 5: Solve for x
    x = 5,788,420,325.64/125,514.60
  6. Step 6: Final answer
    x = 46,117.51

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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.