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Finding the Fourth Proportional to 140,669.73, 194,124.38 and 77,007.67

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Solution

The fourth proportional to 140,669.73, 194,124.38 and 77,007.67 is: 106,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,669.73 : 194,124.38 = 77,007.67 : x
  2. Step 2: Convert to fraction form
    140,669.73/194,124.38 = 77,007.67/x
  3. Step 3: Cross multiply
    140,669.73x = 194,124.38 × 77,007.67
  4. Step 4: Simplify right side
    140,669.73x = 14,949,065,323.65
  5. Step 5: Solve for x
    x = 14,949,065,323.65/140,669.73
  6. Step 6: Final answer
    x = 106,270.66

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