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Finding the Fourth Proportional to 194,761.45, 291,978.15 and 101,267.20

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Solution

The fourth proportional to 194,761.45, 291,978.15 and 101,267.20 is: 151,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,761.45 : 291,978.15 = 101,267.20 : x
  2. Step 2: Convert to fraction form
    194,761.45/291,978.15 = 101,267.20/x
  3. Step 3: Cross multiply
    194,761.45x = 291,978.15 × 101,267.20
  4. Step 4: Simplify right side
    194,761.45x = 29,567,809,711.68
  5. Step 5: Solve for x
    x = 29,567,809,711.68/194,761.45
  6. Step 6: Final answer
    x = 151,815.51

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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.