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Finding the Fourth Proportional to 234,054.86, 323,007.29 and 143,415.86

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Solution

The fourth proportional to 234,054.86, 323,007.29 and 143,415.86 is: 197,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,054.86 : 323,007.29 = 143,415.86 : x
  2. Step 2: Convert to fraction form
    234,054.86/323,007.29 = 143,415.86/x
  3. Step 3: Cross multiply
    234,054.86x = 323,007.29 × 143,415.86
  4. Step 4: Simplify right side
    234,054.86x = 46,324,365,949.50
  5. Step 5: Solve for x
    x = 46,324,365,949.50/234,054.86
  6. Step 6: Final answer
    x = 197,920.98

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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.