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Finding the Fourth Proportional to 259,933, 358,708.68 and 140,701

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Solution

The fourth proportional to 259,933, 358,708.68 and 140,701 is: 194,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,933 : 358,708.68 = 140,701 : x
  2. Step 2: Convert to fraction form
    259,933/358,708.68 = 140,701/x
  3. Step 3: Cross multiply
    259,933x = 358,708.68 × 140,701
  4. Step 4: Simplify right side
    259,933x = 50,470,669,984.68
  5. Step 5: Solve for x
    x = 50,470,669,984.68/259,933
  6. Step 6: Final answer
    x = 194,168.00

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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.