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Finding the Fourth Proportional to 309,158.60, 463,725.72 and 109,470.92

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Solution

The fourth proportional to 309,158.60, 463,725.72 and 109,470.92 is: 164,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,158.60 : 463,725.72 = 109,470.92 : x
  2. Step 2: Convert to fraction form
    309,158.60/463,725.72 = 109,470.92/x
  3. Step 3: Cross multiply
    309,158.60x = 463,725.72 × 109,470.92
  4. Step 4: Simplify right side
    309,158.60x = 50,764,481,196.06
  5. Step 5: Solve for x
    x = 50,764,481,196.06/309,158.60
  6. Step 6: Final answer
    x = 164,202.07

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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.