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Finding the Fourth Proportional to 135,417.49, 202,952.39 and 51,077.20

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Solution

The fourth proportional to 135,417.49, 202,952.39 and 51,077.20 is: 76,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,417.49 : 202,952.39 = 51,077.20 : x
  2. Step 2: Convert to fraction form
    135,417.49/202,952.39 = 51,077.20/x
  3. Step 3: Cross multiply
    135,417.49x = 202,952.39 × 51,077.20
  4. Step 4: Simplify right side
    135,417.49x = 10,366,239,559.12
  5. Step 5: Solve for x
    x = 10,366,239,559.12/135,417.49
  6. Step 6: Final answer
    x = 76,550.23

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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.