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Finding the Fourth Proportional to 240,797.76, 332,303.40 and 145,286

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Solution

The fourth proportional to 240,797.76, 332,303.40 and 145,286 is: 200,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,797.76 : 332,303.40 = 145,286 : x
  2. Step 2: Convert to fraction form
    240,797.76/332,303.40 = 145,286/x
  3. Step 3: Cross multiply
    240,797.76x = 332,303.40 × 145,286
  4. Step 4: Simplify right side
    240,797.76x = 48,279,031,772.40
  5. Step 5: Solve for x
    x = 48,279,031,772.40/240,797.76
  6. Step 6: Final answer
    x = 200,496.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.