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Finding the Fourth Proportional to 188,636.91, 260,242.14 and 106,947.95

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Solution

The fourth proportional to 188,636.91, 260,242.14 and 106,947.95 is: 147,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,636.91 : 260,242.14 = 106,947.95 : x
  2. Step 2: Convert to fraction form
    188,636.91/260,242.14 = 106,947.95/x
  3. Step 3: Cross multiply
    188,636.91x = 260,242.14 × 106,947.95
  4. Step 4: Simplify right side
    188,636.91x = 27,832,362,175.67
  5. Step 5: Solve for x
    x = 27,832,362,175.67/188,636.91
  6. Step 6: Final answer
    x = 147,544.62

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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.