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Finding the Fourth Proportional to 201,732.80, 290,868.48 and 201,732.80

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Solution

The fourth proportional to 201,732.80, 290,868.48 and 201,732.80 is: 290,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732.80 : 290,868.48 = 201,732.80 : x
  2. Step 2: Convert to fraction form
    201,732.80/290,868.48 = 201,732.80/x
  3. Step 3: Cross multiply
    201,732.80x = 290,868.48 × 201,732.80
  4. Step 4: Simplify right side
    201,732.80x = 58,677,712,902.14
  5. Step 5: Solve for x
    x = 58,677,712,902.14/201,732.80
  6. Step 6: Final answer
    x = 290,868.48

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.