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Finding the Fourth Proportional to 129,488.32, 194,185.50 and 45,224.88

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Solution

The fourth proportional to 129,488.32, 194,185.50 and 45,224.88 is: 67,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,488.32 : 194,185.50 = 45,224.88 : x
  2. Step 2: Convert to fraction form
    129,488.32/194,185.50 = 45,224.88/x
  3. Step 3: Cross multiply
    129,488.32x = 194,185.50 × 45,224.88
  4. Step 4: Simplify right side
    129,488.32x = 8,782,015,935.24
  5. Step 5: Solve for x
    x = 8,782,015,935.24/129,488.32
  6. Step 6: Final answer
    x = 67,820.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.