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Finding the Fourth Proportional to 317,073.81, 475,605.22 and 106,711.74

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Solution

The fourth proportional to 317,073.81, 475,605.22 and 106,711.74 is: 160,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,073.81 : 475,605.22 = 106,711.74 : x
  2. Step 2: Convert to fraction form
    317,073.81/475,605.22 = 106,711.74/x
  3. Step 3: Cross multiply
    317,073.81x = 475,605.22 × 106,711.74
  4. Step 4: Simplify right side
    317,073.81x = 50,752,660,579.28
  5. Step 5: Solve for x
    x = 50,752,660,579.28/317,073.81
  6. Step 6: Final answer
    x = 160,065.76

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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.