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Finding the Fourth Proportional to 301,106.17, 451,834.17 and 134,894.17

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Solution

The fourth proportional to 301,106.17, 451,834.17 and 134,894.17 is: 202,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,106.17 : 451,834.17 = 134,894.17 : x
  2. Step 2: Convert to fraction form
    301,106.17/451,834.17 = 134,894.17/x
  3. Step 3: Cross multiply
    301,106.17x = 451,834.17 × 134,894.17
  4. Step 4: Simplify right side
    301,106.17x = 60,949,795,339.79
  5. Step 5: Solve for x
    x = 60,949,795,339.79/301,106.17
  6. Step 6: Final answer
    x = 202,419.62

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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.