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Finding the Fourth Proportional to 109,898.20, 164,847.30 and 65,611.45

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Solution

The fourth proportional to 109,898.20, 164,847.30 and 65,611.45 is: 98,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.20 : 164,847.30 = 65,611.45 : x
  2. Step 2: Convert to fraction form
    109,898.20/164,847.30 = 65,611.45/x
  3. Step 3: Cross multiply
    109,898.20x = 164,847.30 × 65,611.45
  4. Step 4: Simplify right side
    109,898.20x = 10,815,870,381.59
  5. Step 5: Solve for x
    x = 10,815,870,381.59/109,898.20
  6. Step 6: Final answer
    x = 98,417.18

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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.