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Finding the Fourth Proportional to 225,164.67, 337,787.94 and 106,834.92

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Solution

The fourth proportional to 225,164.67, 337,787.94 and 106,834.92 is: 160,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,164.67 : 337,787.94 = 106,834.92 : x
  2. Step 2: Convert to fraction form
    225,164.67/337,787.94 = 106,834.92/x
  3. Step 3: Cross multiply
    225,164.67x = 337,787.94 × 106,834.92
  4. Step 4: Simplify right side
    225,164.67x = 36,087,547,546.86
  5. Step 5: Solve for x
    x = 36,087,547,546.86/225,164.67
  6. Step 6: Final answer
    x = 160,271.80

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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.