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Finding the Fourth Proportional to 317,207.05, 475,807.34 and 106,843.57

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Solution

The fourth proportional to 317,207.05, 475,807.34 and 106,843.57 is: 160,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,207.05 : 475,807.34 = 106,843.57 : x
  2. Step 2: Convert to fraction form
    317,207.05/475,807.34 = 106,843.57/x
  3. Step 3: Cross multiply
    317,207.05x = 475,807.34 × 106,843.57
  4. Step 4: Simplify right side
    317,207.05x = 50,836,954,303.59
  5. Step 5: Solve for x
    x = 50,836,954,303.59/317,207.05
  6. Step 6: Final answer
    x = 160,264.26

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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.