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Finding the Fourth Proportional to 257,976.38, 356,007.41 and 144,835.58

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Solution

The fourth proportional to 257,976.38, 356,007.41 and 144,835.58 is: 199,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,976.38 : 356,007.41 = 144,835.58 : x
  2. Step 2: Convert to fraction form
    257,976.38/356,007.41 = 144,835.58/x
  3. Step 3: Cross multiply
    257,976.38x = 356,007.41 × 144,835.58
  4. Step 4: Simplify right side
    257,976.38x = 51,562,537,207.43
  5. Step 5: Solve for x
    x = 51,562,537,207.43/257,976.38
  6. Step 6: Final answer
    x = 199,873.10

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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.