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Finding the Fourth Proportional to 109,473.70, 164,198.40 and 89,717.80

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Solution

The fourth proportional to 109,473.70, 164,198.40 and 89,717.80 is: 134,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,473.70 : 164,198.40 = 89,717.80 : x
  2. Step 2: Convert to fraction form
    109,473.70/164,198.40 = 89,717.80/x
  3. Step 3: Cross multiply
    109,473.70x = 164,198.40 × 89,717.80
  4. Step 4: Simplify right side
    109,473.70x = 14,731,519,211.52
  5. Step 5: Solve for x
    x = 14,731,519,211.52/109,473.70
  6. Step 6: Final answer
    x = 134,566.74

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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.