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Finding the Fourth Proportional to 109,849.70, 164,774.55 and 109,849.70

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Solution

The fourth proportional to 109,849.70, 164,774.55 and 109,849.70 is: 164,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,849.70 : 164,774.55 = 109,849.70 : x
  2. Step 2: Convert to fraction form
    109,849.70/164,774.55 = 109,849.70/x
  3. Step 3: Cross multiply
    109,849.70x = 164,774.55 × 109,849.70
  4. Step 4: Simplify right side
    109,849.70x = 18,100,434,885.14
  5. Step 5: Solve for x
    x = 18,100,434,885.14/109,849.70
  6. Step 6: Final answer
    x = 164,774.55

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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.