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Finding the Fourth Proportional to 234,618.50, 323,415.24 and 143,806.16

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Solution

The fourth proportional to 234,618.50, 323,415.24 and 143,806.16 is: 198,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,618.50 : 323,415.24 = 143,806.16 : x
  2. Step 2: Convert to fraction form
    234,618.50/323,415.24 = 143,806.16/x
  3. Step 3: Cross multiply
    234,618.50x = 323,415.24 × 143,806.16
  4. Step 4: Simplify right side
    234,618.50x = 46,509,103,749.88
  5. Step 5: Solve for x
    x = 46,509,103,749.88/234,618.50
  6. Step 6: Final answer
    x = 198,232.89

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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.