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Finding the Fourth Proportional to 140,084, 193,315.92 and 89,783

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Solution

The fourth proportional to 140,084, 193,315.92 and 89,783 is: 123,900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,084 : 193,315.92 = 89,783 : x
  2. Step 2: Convert to fraction form
    140,084/193,315.92 = 89,783/x
  3. Step 3: Cross multiply
    140,084x = 193,315.92 × 89,783
  4. Step 4: Simplify right side
    140,084x = 17,356,483,245.36
  5. Step 5: Solve for x
    x = 17,356,483,245.36/140,084
  6. Step 6: Final answer
    x = 123,900.54

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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.