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Finding the Fourth Proportional to 109,673.40, 164,575.64 and 100,750.44

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Solution

The fourth proportional to 109,673.40, 164,575.64 and 100,750.44 is: 151,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,673.40 : 164,575.64 = 100,750.44 : x
  2. Step 2: Convert to fraction form
    109,673.40/164,575.64 = 100,750.44/x
  3. Step 3: Cross multiply
    109,673.40x = 164,575.64 × 100,750.44
  4. Step 4: Simplify right side
    109,673.40x = 16,581,066,816.65
  5. Step 5: Solve for x
    x = 16,581,066,816.65/109,673.40
  6. Step 6: Final answer
    x = 151,185.86

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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.