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Finding the Fourth Proportional to 233,102.80, 349,135.80 and 201,998.80

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Solution

The fourth proportional to 233,102.80, 349,135.80 and 201,998.80 is: 302,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,102.80 : 349,135.80 = 201,998.80 : x
  2. Step 2: Convert to fraction form
    233,102.80/349,135.80 = 201,998.80/x
  3. Step 3: Cross multiply
    233,102.80x = 349,135.80 × 201,998.80
  4. Step 4: Simplify right side
    233,102.80x = 70,525,012,637.04
  5. Step 5: Solve for x
    x = 70,525,012,637.04/233,102.80
  6. Step 6: Final answer
    x = 302,548.97

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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.