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Finding the Fourth Proportional to 145,138.13, 217,709.50 and 55,182.21

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Solution

The fourth proportional to 145,138.13, 217,709.50 and 55,182.21 is: 82,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,138.13 : 217,709.50 = 55,182.21 : x
  2. Step 2: Convert to fraction form
    145,138.13/217,709.50 = 55,182.21/x
  3. Step 3: Cross multiply
    145,138.13x = 217,709.50 × 55,182.21
  4. Step 4: Simplify right side
    145,138.13x = 12,013,691,348.00
  5. Step 5: Solve for x
    x = 12,013,691,348.00/145,138.13
  6. Step 6: Final answer
    x = 82,774.19

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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.