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Finding the Fourth Proportional to 188,957.28, 260,761.31 and 102,916.59

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Solution

The fourth proportional to 188,957.28, 260,761.31 and 102,916.59 is: 142,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,957.28 : 260,761.31 = 102,916.59 : x
  2. Step 2: Convert to fraction form
    188,957.28/260,761.31 = 102,916.59/x
  3. Step 3: Cross multiply
    188,957.28x = 260,761.31 × 102,916.59
  4. Step 4: Simplify right side
    188,957.28x = 26,836,665,633.35
  5. Step 5: Solve for x
    x = 26,836,665,633.35/188,957.28
  6. Step 6: Final answer
    x = 142,025.05

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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.