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Finding the Fourth Proportional to 234,156, 323,059.86 and 143,417.37

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Solution

The fourth proportional to 234,156, 323,059.86 and 143,417.37 is: 197,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,156 : 323,059.86 = 143,417.37 : x
  2. Step 2: Convert to fraction form
    234,156/323,059.86 = 143,417.37/x
  3. Step 3: Cross multiply
    234,156x = 323,059.86 × 143,417.37
  4. Step 4: Simplify right side
    234,156x = 46,332,395,473.77
  5. Step 5: Solve for x
    x = 46,332,395,473.77/234,156
  6. Step 6: Final answer
    x = 197,869.78

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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.