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Finding the Fourth Proportional to 133,542.90, 200,314.35 and 89,025.30

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Solution

The fourth proportional to 133,542.90, 200,314.35 and 89,025.30 is: 133,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,542.90 : 200,314.35 = 89,025.30 : x
  2. Step 2: Convert to fraction form
    133,542.90/200,314.35 = 89,025.30/x
  3. Step 3: Cross multiply
    133,542.90x = 200,314.35 × 89,025.30
  4. Step 4: Simplify right side
    133,542.90x = 17,833,045,103.06
  5. Step 5: Solve for x
    x = 17,833,045,103.06/133,542.90
  6. Step 6: Final answer
    x = 133,537.95

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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.