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Finding the Fourth Proportional to 135,327.80, 202,977.12 and 35,498

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Solution

The fourth proportional to 135,327.80, 202,977.12 and 35,498 is: 53,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,327.80 : 202,977.12 = 35,498 : x
  2. Step 2: Convert to fraction form
    135,327.80/202,977.12 = 35,498/x
  3. Step 3: Cross multiply
    135,327.80x = 202,977.12 × 35,498
  4. Step 4: Simplify right side
    135,327.80x = 7,205,281,805.76
  5. Step 5: Solve for x
    x = 7,205,281,805.76/135,327.80
  6. Step 6: Final answer
    x = 53,243.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.