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Finding the Fourth Proportional to 189,715.92, 261,805.41 and 104,834.40

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Solution

The fourth proportional to 189,715.92, 261,805.41 and 104,834.40 is: 144,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,715.92 : 261,805.41 = 104,834.40 : x
  2. Step 2: Convert to fraction form
    189,715.92/261,805.41 = 104,834.40/x
  3. Step 3: Cross multiply
    189,715.92x = 261,805.41 × 104,834.40
  4. Step 4: Simplify right side
    189,715.92x = 27,446,213,074.10
  5. Step 5: Solve for x
    x = 27,446,213,074.10/189,715.92
  6. Step 6: Final answer
    x = 144,670.06

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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.