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Finding the Fourth Proportional to 308,008, 462,196.32 and 132,904

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Solution

The fourth proportional to 308,008, 462,196.32 and 132,904 is: 199,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,008 : 462,196.32 = 132,904 : x
  2. Step 2: Convert to fraction form
    308,008/462,196.32 = 132,904/x
  3. Step 3: Cross multiply
    308,008x = 462,196.32 × 132,904
  4. Step 4: Simplify right side
    308,008x = 61,427,739,713.28
  5. Step 5: Solve for x
    x = 61,427,739,713.28/308,008
  6. Step 6: Final answer
    x = 199,435.53

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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.