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Finding the Fourth Proportional to 163,814.94, 245,407.25 and 100,450.10

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Solution

The fourth proportional to 163,814.94, 245,407.25 and 100,450.10 is: 150,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,814.94 : 245,407.25 = 100,450.10 : x
  2. Step 2: Convert to fraction form
    163,814.94/245,407.25 = 100,450.10/x
  3. Step 3: Cross multiply
    163,814.94x = 245,407.25 × 100,450.10
  4. Step 4: Simplify right side
    163,814.94x = 24,651,183,667.87
  5. Step 5: Solve for x
    x = 24,651,183,667.87/163,814.94
  6. Step 6: Final answer
    x = 150,481.90

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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.