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Finding the Fourth Proportional to 120,455.64, 166,234.48 and 72,707.98

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Solution

The fourth proportional to 120,455.64, 166,234.48 and 72,707.98 is: 100,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,455.64 : 166,234.48 = 72,707.98 : x
  2. Step 2: Convert to fraction form
    120,455.64/166,234.48 = 72,707.98/x
  3. Step 3: Cross multiply
    120,455.64x = 166,234.48 × 72,707.98
  4. Step 4: Simplify right side
    120,455.64x = 12,086,573,247.15
  5. Step 5: Solve for x
    x = 12,086,573,247.15/120,455.64
  6. Step 6: Final answer
    x = 100,340.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.