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Finding the Fourth Proportional to 188,969.44, 260,772.45 and 102,926.47

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Solution

The fourth proportional to 188,969.44, 260,772.45 and 102,926.47 is: 142,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,969.44 : 260,772.45 = 102,926.47 : x
  2. Step 2: Convert to fraction form
    188,969.44/260,772.45 = 102,926.47/x
  3. Step 3: Cross multiply
    188,969.44x = 260,772.45 × 102,926.47
  4. Step 4: Simplify right side
    188,969.44x = 26,840,387,751.75
  5. Step 5: Solve for x
    x = 26,840,387,751.75/188,969.44
  6. Step 6: Final answer
    x = 142,035.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.