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Finding the Fourth Proportional to 228,044.54, 314,813.68 and 143,208.38

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Solution

The fourth proportional to 228,044.54, 314,813.68 and 143,208.38 is: 197,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,044.54 : 314,813.68 = 143,208.38 : x
  2. Step 2: Convert to fraction form
    228,044.54/314,813.68 = 143,208.38/x
  3. Step 3: Cross multiply
    228,044.54x = 314,813.68 × 143,208.38
  4. Step 4: Simplify right side
    228,044.54x = 45,083,957,114.64
  5. Step 5: Solve for x
    x = 45,083,957,114.64/228,044.54
  6. Step 6: Final answer
    x = 197,698.03

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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.