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Finding the Fourth Proportional to 142,522.33, 196,680.84 and 77,991.58

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Solution

The fourth proportional to 142,522.33, 196,680.84 and 77,991.58 is: 107,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,522.33 : 196,680.84 = 77,991.58 : x
  2. Step 2: Convert to fraction form
    142,522.33/196,680.84 = 77,991.58/x
  3. Step 3: Cross multiply
    142,522.33x = 196,680.84 × 77,991.58
  4. Step 4: Simplify right side
    142,522.33x = 15,339,449,420.71
  5. Step 5: Solve for x
    x = 15,339,449,420.71/142,522.33
  6. Step 6: Final answer
    x = 107,628.39

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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.