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Finding the Fourth Proportional to 214,834.60, 321,863.10 and 183,730.60

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Solution

The fourth proportional to 214,834.60, 321,863.10 and 183,730.60 is: 275,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,834.60 : 321,863.10 = 183,730.60 : x
  2. Step 2: Convert to fraction form
    214,834.60/321,863.10 = 183,730.60/x
  3. Step 3: Cross multiply
    214,834.60x = 321,863.10 × 183,730.60
  4. Step 4: Simplify right side
    214,834.60x = 59,136,100,480.86
  5. Step 5: Solve for x
    x = 59,136,100,480.86/214,834.60
  6. Step 6: Final answer
    x = 275,263.39

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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.