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Finding the Fourth Proportional to 308,818.60, 463,265.22 and 109,098.10

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Solution

The fourth proportional to 308,818.60, 463,265.22 and 109,098.10 is: 163,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,818.60 : 463,265.22 = 109,098.10 : x
  2. Step 2: Convert to fraction form
    308,818.60/463,265.22 = 109,098.10/x
  3. Step 3: Cross multiply
    308,818.60x = 463,265.22 × 109,098.10
  4. Step 4: Simplify right side
    308,818.60x = 50,541,355,298.08
  5. Step 5: Solve for x
    x = 50,541,355,298.08/308,818.60
  6. Step 6: Final answer
    x = 163,660.33

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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.