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Finding the Fourth Proportional to 140,765.76, 211,129.20 and 35,578.35

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Solution

The fourth proportional to 140,765.76, 211,129.20 and 35,578.35 is: 53,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,765.76 : 211,129.20 = 35,578.35 : x
  2. Step 2: Convert to fraction form
    140,765.76/211,129.20 = 35,578.35/x
  3. Step 3: Cross multiply
    140,765.76x = 211,129.20 × 35,578.35
  4. Step 4: Simplify right side
    140,765.76x = 7,511,628,572.82
  5. Step 5: Solve for x
    x = 7,511,628,572.82/140,765.76
  6. Step 6: Final answer
    x = 53,362.61

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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.