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Finding the Fourth Proportional to 139,484.24, 209,214.50 and 55,221.50

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Solution

The fourth proportional to 139,484.24, 209,214.50 and 55,221.50 is: 82,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,484.24 : 209,214.50 = 55,221.50 : x
  2. Step 2: Convert to fraction form
    139,484.24/209,214.50 = 55,221.50/x
  3. Step 3: Cross multiply
    139,484.24x = 209,214.50 × 55,221.50
  4. Step 4: Simplify right side
    139,484.24x = 11,553,138,511.75
  5. Step 5: Solve for x
    x = 11,553,138,511.75/139,484.24
  6. Step 6: Final answer
    x = 82,827.55

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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.