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Finding the Fourth Proportional to 205,105.60, 307,658.40 and 145,619.20

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Solution

The fourth proportional to 205,105.60, 307,658.40 and 145,619.20 is: 218,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,105.60 : 307,658.40 = 145,619.20 : x
  2. Step 2: Convert to fraction form
    205,105.60/307,658.40 = 145,619.20/x
  3. Step 3: Cross multiply
    205,105.60x = 307,658.40 × 145,619.20
  4. Step 4: Simplify right side
    205,105.60x = 44,800,970,081.28
  5. Step 5: Solve for x
    x = 44,800,970,081.28/205,105.60
  6. Step 6: Final answer
    x = 218,428.80

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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.