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Finding the Fourth Proportional to 106,419.96, 159,668.10 and 45,604.71

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Solution

The fourth proportional to 106,419.96, 159,668.10 and 45,604.71 is: 68,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,419.96 : 159,668.10 = 45,604.71 : x
  2. Step 2: Convert to fraction form
    106,419.96/159,668.10 = 45,604.71/x
  3. Step 3: Cross multiply
    106,419.96x = 159,668.10 × 45,604.71
  4. Step 4: Simplify right side
    106,419.96x = 7,281,617,396.75
  5. Step 5: Solve for x
    x = 7,281,617,396.75/106,419.96
  6. Step 6: Final answer
    x = 68,423.42

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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.