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Finding the Fourth Proportional to 227,792.40, 341,947.80 and 134,350.80

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Solution

The fourth proportional to 227,792.40, 341,947.80 and 134,350.80 is: 201,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,792.40 : 341,947.80 = 134,350.80 : x
  2. Step 2: Convert to fraction form
    227,792.40/341,947.80 = 134,350.80/x
  3. Step 3: Cross multiply
    227,792.40x = 341,947.80 × 134,350.80
  4. Step 4: Simplify right side
    227,792.40x = 45,940,960,488.24
  5. Step 5: Solve for x
    x = 45,940,960,488.24/227,792.40
  6. Step 6: Final answer
    x = 201,679.07

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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.