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Finding the Fourth Proportional to 240,795.82, 332,300.69 and 145,284.06

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Solution

The fourth proportional to 240,795.82, 332,300.69 and 145,284.06 is: 200,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,795.82 : 332,300.69 = 145,284.06 : x
  2. Step 2: Convert to fraction form
    240,795.82/332,300.69 = 145,284.06/x
  3. Step 3: Cross multiply
    240,795.82x = 332,300.69 × 145,284.06
  4. Step 4: Simplify right side
    240,795.82x = 48,277,993,384.00
  5. Step 5: Solve for x
    x = 48,277,993,384.00/240,795.82
  6. Step 6: Final answer
    x = 200,493.49

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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.