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Finding the Fourth Proportional to 259,904, 358,668.60 and 140,672

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Solution

The fourth proportional to 259,904, 358,668.60 and 140,672 is: 194,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,904 : 358,668.60 = 140,672 : x
  2. Step 2: Convert to fraction form
    259,904/358,668.60 = 140,672/x
  3. Step 3: Cross multiply
    259,904x = 358,668.60 × 140,672
  4. Step 4: Simplify right side
    259,904x = 50,454,629,299.20
  5. Step 5: Solve for x
    x = 50,454,629,299.20/259,904
  6. Step 6: Final answer
    x = 194,127.94

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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.