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Finding the Fourth Proportional to 139,477.24, 209,204 and 55,214.50

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Solution

The fourth proportional to 139,477.24, 209,204 and 55,214.50 is: 82,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,477.24 : 209,204 = 55,214.50 : x
  2. Step 2: Convert to fraction form
    139,477.24/209,204 = 55,214.50/x
  3. Step 3: Cross multiply
    139,477.24x = 209,204 × 55,214.50
  4. Step 4: Simplify right side
    139,477.24x = 11,551,094,258
  5. Step 5: Solve for x
    x = 11,551,094,258/139,477.24
  6. Step 6: Final answer
    x = 82,817.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.