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Finding the Fourth Proportional to 144,520.20, 199,477.89 and 84,102.57

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Solution

The fourth proportional to 144,520.20, 199,477.89 and 84,102.57 is: 116,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,520.20 : 199,477.89 = 84,102.57 : x
  2. Step 2: Convert to fraction form
    144,520.20/199,477.89 = 84,102.57/x
  3. Step 3: Cross multiply
    144,520.20x = 199,477.89 × 84,102.57
  4. Step 4: Simplify right side
    144,520.20x = 16,776,603,207.18
  5. Step 5: Solve for x
    x = 16,776,603,207.18/144,520.20
  6. Step 6: Final answer
    x = 116,084.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.