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Finding the Fourth Proportional to 201,706.30, 303,215.55 and 142,948.90

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Solution

The fourth proportional to 201,706.30, 303,215.55 and 142,948.90 is: 214,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,706.30 : 303,215.55 = 142,948.90 : x
  2. Step 2: Convert to fraction form
    201,706.30/303,215.55 = 142,948.90/x
  3. Step 3: Cross multiply
    201,706.30x = 303,215.55 × 142,948.90
  4. Step 4: Simplify right side
    201,706.30x = 43,344,329,335.40
  5. Step 5: Solve for x
    x = 43,344,329,335.40/201,706.30
  6. Step 6: Final answer
    x = 214,888.33

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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.