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Finding the Fourth Proportional to 201,825.32, 302,738.00 and 83,366.46

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Solution

The fourth proportional to 201,825.32, 302,738.00 and 83,366.46 is: 125,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,825.32 : 302,738.00 = 83,366.46 : x
  2. Step 2: Convert to fraction form
    201,825.32/302,738.00 = 83,366.46/x
  3. Step 3: Cross multiply
    201,825.32x = 302,738.00 × 83,366.46
  4. Step 4: Simplify right side
    201,825.32x = 25,238,194,950.65
  5. Step 5: Solve for x
    x = 25,238,194,950.65/201,825.32
  6. Step 6: Final answer
    x = 125,049.70

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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.