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Finding the Fourth Proportional to 228,214.30, 314,911.50 and 126,223.56

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Solution

The fourth proportional to 228,214.30, 314,911.50 and 126,223.56 is: 174,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,214.30 : 314,911.50 = 126,223.56 : x
  2. Step 2: Convert to fraction form
    228,214.30/314,911.50 = 126,223.56/x
  3. Step 3: Cross multiply
    228,214.30x = 314,911.50 × 126,223.56
  4. Step 4: Simplify right side
    228,214.30x = 39,749,250,614.94
  5. Step 5: Solve for x
    x = 39,749,250,614.94/228,214.30
  6. Step 6: Final answer
    x = 174,175.11

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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.