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Finding the Fourth Proportional to 142,241.80, 196,290.86 and 78,579

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Solution

The fourth proportional to 142,241.80, 196,290.86 and 78,579 is: 108,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,241.80 : 196,290.86 = 78,579 : x
  2. Step 2: Convert to fraction form
    142,241.80/196,290.86 = 78,579/x
  3. Step 3: Cross multiply
    142,241.80x = 196,290.86 × 78,579
  4. Step 4: Simplify right side
    142,241.80x = 15,424,339,487.94
  5. Step 5: Solve for x
    x = 15,424,339,487.94/142,241.80
  6. Step 6: Final answer
    x = 108,437.46

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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.