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Finding the Fourth Proportional to 308,902.60, 463,353.90 and 109,221.40

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Solution

The fourth proportional to 308,902.60, 463,353.90 and 109,221.40 is: 163,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,902.60 : 463,353.90 = 109,221.40 : x
  2. Step 2: Convert to fraction form
    308,902.60/463,353.90 = 109,221.40/x
  3. Step 3: Cross multiply
    308,902.60x = 463,353.90 × 109,221.40
  4. Step 4: Simplify right side
    308,902.60x = 50,608,161,653.46
  5. Step 5: Solve for x
    x = 50,608,161,653.46/308,902.60
  6. Step 6: Final answer
    x = 163,832.10

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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.