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Finding the Fourth Proportional to 186,957.14, 280,472.67 and 68,629.50

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Solution

The fourth proportional to 186,957.14, 280,472.67 and 68,629.50 is: 102,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,957.14 : 280,472.67 = 68,629.50 : x
  2. Step 2: Convert to fraction form
    186,957.14/280,472.67 = 68,629.50/x
  3. Step 3: Cross multiply
    186,957.14x = 280,472.67 × 68,629.50
  4. Step 4: Simplify right side
    186,957.14x = 19,248,699,105.77
  5. Step 5: Solve for x
    x = 19,248,699,105.77/186,957.14
  6. Step 6: Final answer
    x = 102,957.82

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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.