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Finding the Fourth Proportional to 234,711.99, 323,878.73 and 144,071.77

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Solution

The fourth proportional to 234,711.99, 323,878.73 and 144,071.77 is: 198,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,711.99 : 323,878.73 = 144,071.77 : x
  2. Step 2: Convert to fraction form
    234,711.99/323,878.73 = 144,071.77/x
  3. Step 3: Cross multiply
    234,711.99x = 323,878.73 × 144,071.77
  4. Step 4: Simplify right side
    234,711.99x = 46,661,781,896.45
  5. Step 5: Solve for x
    x = 46,661,781,896.45/234,711.99
  6. Step 6: Final answer
    x = 198,804.42

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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.