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Finding the Fourth Proportional to 317,303.20, 475,954.80 and 106,919.20

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Solution

The fourth proportional to 317,303.20, 475,954.80 and 106,919.20 is: 160,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,303.20 : 475,954.80 = 106,919.20 : x
  2. Step 2: Convert to fraction form
    317,303.20/475,954.80 = 106,919.20/x
  3. Step 3: Cross multiply
    317,303.20x = 475,954.80 × 106,919.20
  4. Step 4: Simplify right side
    317,303.20x = 50,888,706,452.16
  5. Step 5: Solve for x
    x = 50,888,706,452.16/317,303.20
  6. Step 6: Final answer
    x = 160,378.80

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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.