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Finding the Fourth Proportional to 657,692.64, 986,162.16 and 202,165.26

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Solution

The fourth proportional to 657,692.64, 986,162.16 and 202,165.26 is: 303,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,692.64 : 986,162.16 = 202,165.26 : x
  2. Step 2: Convert to fraction form
    657,692.64/986,162.16 = 202,165.26/x
  3. Step 3: Cross multiply
    657,692.64x = 986,162.16 × 202,165.26
  4. Step 4: Simplify right side
    657,692.64x = 199,367,729,478.56
  5. Step 5: Solve for x
    x = 199,367,729,478.56/657,692.64
  6. Step 6: Final answer
    x = 303,132.07

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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.