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Finding the Fourth Proportional to 234,477.81, 323,585.40 and 143,883.84

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Solution

The fourth proportional to 234,477.81, 323,585.40 and 143,883.84 is: 198,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,477.81 : 323,585.40 = 143,883.84 : x
  2. Step 2: Convert to fraction form
    234,477.81/323,585.40 = 143,883.84/x
  3. Step 3: Cross multiply
    234,477.81x = 323,585.40 × 143,883.84
  4. Step 4: Simplify right side
    234,477.81x = 46,558,709,919.94
  5. Step 5: Solve for x
    x = 46,558,709,919.94/234,477.81
  6. Step 6: Final answer
    x = 198,563.39

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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.