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Finding the Fourth Proportional to 109,355.70, 164,098.35 and 72,022.80

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Solution

The fourth proportional to 109,355.70, 164,098.35 and 72,022.80 is: 108,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,355.70 : 164,098.35 = 72,022.80 : x
  2. Step 2: Convert to fraction form
    109,355.70/164,098.35 = 72,022.80/x
  3. Step 3: Cross multiply
    109,355.70x = 164,098.35 × 72,022.80
  4. Step 4: Simplify right side
    109,355.70x = 11,818,822,642.38
  5. Step 5: Solve for x
    x = 11,818,822,642.38/109,355.70
  6. Step 6: Final answer
    x = 108,076.88

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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.