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Finding the Fourth Proportional to 317,098.16, 475,696.38 and 106,719.68

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Solution

The fourth proportional to 317,098.16, 475,696.38 and 106,719.68 is: 160,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,098.16 : 475,696.38 = 106,719.68 : x
  2. Step 2: Convert to fraction form
    317,098.16/475,696.38 = 106,719.68/x
  3. Step 3: Cross multiply
    317,098.16x = 475,696.38 × 106,719.68
  4. Step 4: Simplify right side
    317,098.16x = 50,766,165,450.76
  5. Step 5: Solve for x
    x = 50,766,165,450.76/317,098.16
  6. Step 6: Final answer
    x = 160,096.06

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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.