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Finding the Fourth Proportional to 210,282.80, 315,424.20 and 135,633.20

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Solution

The fourth proportional to 210,282.80, 315,424.20 and 135,633.20 is: 203,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,282.80 : 315,424.20 = 135,633.20 : x
  2. Step 2: Convert to fraction form
    210,282.80/315,424.20 = 135,633.20/x
  3. Step 3: Cross multiply
    210,282.80x = 315,424.20 × 135,633.20
  4. Step 4: Simplify right side
    210,282.80x = 42,781,993,603.44
  5. Step 5: Solve for x
    x = 42,781,993,603.44/210,282.80
  6. Step 6: Final answer
    x = 203,449.80

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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.