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Finding the Fourth Proportional to 189,828, 261,968.11 and 104,950.53

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Solution

The fourth proportional to 189,828, 261,968.11 and 104,950.53 is: 144,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,828 : 261,968.11 = 104,950.53 : x
  2. Step 2: Convert to fraction form
    189,828/261,968.11 = 104,950.53/x
  3. Step 3: Cross multiply
    189,828x = 261,968.11 × 104,950.53
  4. Step 4: Simplify right side
    189,828x = 27,493,691,725.22
  5. Step 5: Solve for x
    x = 27,493,691,725.22/189,828
  6. Step 6: Final answer
    x = 144,834.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.