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Finding the Fourth Proportional to 228,208.75, 314,903.81 and 126,218.00

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Solution

The fourth proportional to 228,208.75, 314,903.81 and 126,218.00 is: 174,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,208.75 : 314,903.81 = 126,218.00 : x
  2. Step 2: Convert to fraction form
    228,208.75/314,903.81 = 126,218.00/x
  3. Step 3: Cross multiply
    228,208.75x = 314,903.81 × 126,218.00
  4. Step 4: Simplify right side
    228,208.75x = 39,746,530,193.38
  5. Step 5: Solve for x
    x = 39,746,530,193.38/228,208.75
  6. Step 6: Final answer
    x = 174,167.43

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Why These Related Problems?

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