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Finding the Fourth Proportional to 308,006, 462,193.32 and 132,902

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Solution

The fourth proportional to 308,006, 462,193.32 and 132,902 is: 199,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,006 : 462,193.32 = 132,902 : x
  2. Step 2: Convert to fraction form
    308,006/462,193.32 = 132,902/x
  3. Step 3: Cross multiply
    308,006x = 462,193.32 × 132,902
  4. Step 4: Simplify right side
    308,006x = 61,426,416,614.64
  5. Step 5: Solve for x
    x = 61,426,416,614.64/308,006
  6. Step 6: Final answer
    x = 199,432.53

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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.