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Finding the Fourth Proportional to 269,875.74, 404,739.45 and 101,383.02

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Solution

The fourth proportional to 269,875.74, 404,739.45 and 101,383.02 is: 152,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,875.74 : 404,739.45 = 101,383.02 : x
  2. Step 2: Convert to fraction form
    269,875.74/404,739.45 = 101,383.02/x
  3. Step 3: Cross multiply
    269,875.74x = 404,739.45 × 101,383.02
  4. Step 4: Simplify right side
    269,875.74x = 41,033,707,754.14
  5. Step 5: Solve for x
    x = 41,033,707,754.14/269,875.74
  6. Step 6: Final answer
    x = 152,046.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.