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Finding the Fourth Proportional to 170,563.98, 235,394.40 and 97,977

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Solution

The fourth proportional to 170,563.98, 235,394.40 and 97,977 is: 135,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,563.98 : 235,394.40 = 97,977 : x
  2. Step 2: Convert to fraction form
    170,563.98/235,394.40 = 97,977/x
  3. Step 3: Cross multiply
    170,563.98x = 235,394.40 × 97,977
  4. Step 4: Simplify right side
    170,563.98x = 23,063,237,128.80
  5. Step 5: Solve for x
    x = 23,063,237,128.80/170,563.98
  6. Step 6: Final answer
    x = 135,217.51

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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.